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Finding the Fourth Proportional to 187.83, 282.24 and 101.23

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Solution

The fourth proportional to 187.83, 282.24 and 101.23 is: 152.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.83 : 282.24 = 101.23 : x
  2. Step 2: Convert to fraction form
    187.83/282.24 = 101.23/x
  3. Step 3: Cross multiply
    187.83x = 282.24 × 101.23
  4. Step 4: Simplify right side
    187.83x = 28,569.24
  5. Step 5: Solve for x
    x = 28,569.24/187.83
  6. Step 6: Final answer
    x = 152.11

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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.