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Finding the Fourth Proportional to 187.32, 282.52 and 160.60

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Solution

The fourth proportional to 187.32, 282.52 and 160.60 is: 242.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.32 : 282.52 = 160.60 : x
  2. Step 2: Convert to fraction form
    187.32/282.52 = 160.60/x
  3. Step 3: Cross multiply
    187.32x = 282.52 × 160.60
  4. Step 4: Simplify right side
    187.32x = 45,372.71
  5. Step 5: Solve for x
    x = 45,372.71/187.32
  6. Step 6: Final answer
    x = 242.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.