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Finding the Fourth Proportional to 534.66, 801.86 and 188.02

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Solution

The fourth proportional to 534.66, 801.86 and 188.02 is: 281.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.66 : 801.86 = 188.02 : x
  2. Step 2: Convert to fraction form
    534.66/801.86 = 188.02/x
  3. Step 3: Cross multiply
    534.66x = 801.86 × 188.02
  4. Step 4: Simplify right side
    534.66x = 150,765.72
  5. Step 5: Solve for x
    x = 150,765.72/534.66
  6. Step 6: Final answer
    x = 281.98

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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.