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Finding the Fourth Proportional to 280.52, 387.06 and 187.16

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Solution

The fourth proportional to 280.52, 387.06 and 187.16 is: 258.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.52 : 387.06 = 187.16 : x
  2. Step 2: Convert to fraction form
    280.52/387.06 = 187.16/x
  3. Step 3: Cross multiply
    280.52x = 387.06 × 187.16
  4. Step 4: Simplify right side
    280.52x = 72,442.15
  5. Step 5: Solve for x
    x = 72,442.15/280.52
  6. Step 6: Final answer
    x = 258.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.