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Finding the Fourth Proportional to 187.89, 282.35 and 101.28

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Solution

The fourth proportional to 187.89, 282.35 and 101.28 is: 152.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.89 : 282.35 = 101.28 : x
  2. Step 2: Convert to fraction form
    187.89/282.35 = 101.28/x
  3. Step 3: Cross multiply
    187.89x = 282.35 × 101.28
  4. Step 4: Simplify right side
    187.89x = 28,595.90
  5. Step 5: Solve for x
    x = 28,595.90/187.89
  6. Step 6: Final answer
    x = 152.19

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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.