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Finding the Fourth Proportional to 187.44, 280.52 and 157.04

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Solution

The fourth proportional to 187.44, 280.52 and 157.04 is: 235.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.44 : 280.52 = 157.04 : x
  2. Step 2: Convert to fraction form
    187.44/280.52 = 157.04/x
  3. Step 3: Cross multiply
    187.44x = 280.52 × 157.04
  4. Step 4: Simplify right side
    187.44x = 44,052.86
  5. Step 5: Solve for x
    x = 44,052.86/187.44
  6. Step 6: Final answer
    x = 235.02

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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.