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Finding the Fourth Proportional to 280.59, 420.87 and 118.16

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Solution

The fourth proportional to 280.59, 420.87 and 118.16 is: 177.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.59 : 420.87 = 118.16 : x
  2. Step 2: Convert to fraction form
    280.59/420.87 = 118.16/x
  3. Step 3: Cross multiply
    280.59x = 420.87 × 118.16
  4. Step 4: Simplify right side
    280.59x = 49,727.89
  5. Step 5: Solve for x
    x = 49,727.89/280.59
  6. Step 6: Final answer
    x = 177.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.