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Finding the Fourth Proportional to 187.88, 282.20 and 155.52

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Solution

The fourth proportional to 187.88, 282.20 and 155.52 is: 233.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.88 : 282.20 = 155.52 : x
  2. Step 2: Convert to fraction form
    187.88/282.20 = 155.52/x
  3. Step 3: Cross multiply
    187.88x = 282.20 × 155.52
  4. Step 4: Simplify right side
    187.88x = 43,886.97
  5. Step 5: Solve for x
    x = 43,886.97/187.88
  6. Step 6: Final answer
    x = 233.60

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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.