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Finding the Fourth Proportional to 765.56, 1,148.32 and 188.42

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Solution

The fourth proportional to 765.56, 1,148.32 and 188.42 is: 282.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.56 : 1,148.32 = 188.42 : x
  2. Step 2: Convert to fraction form
    765.56/1,148.32 = 188.42/x
  3. Step 3: Cross multiply
    765.56x = 1,148.32 × 188.42
  4. Step 4: Simplify right side
    765.56x = 216,366.45
  5. Step 5: Solve for x
    x = 216,366.45/765.56
  6. Step 6: Final answer
    x = 282.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.