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Finding the Fourth Proportional to 188.19, 282.29 and 51.23

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Solution

The fourth proportional to 188.19, 282.29 and 51.23 is: 76.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.19 : 282.29 = 51.23 : x
  2. Step 2: Convert to fraction form
    188.19/282.29 = 51.23/x
  3. Step 3: Cross multiply
    188.19x = 282.29 × 51.23
  4. Step 4: Simplify right side
    188.19x = 14,462.17
  5. Step 5: Solve for x
    x = 14,462.17/188.19
  6. Step 6: Final answer
    x = 76.85

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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.