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Finding the Fourth Proportional to 280.71, 421.16 and 118.40

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Solution

The fourth proportional to 280.71, 421.16 and 118.40 is: 177.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.71 : 421.16 = 118.40 : x
  2. Step 2: Convert to fraction form
    280.71/421.16 = 118.40/x
  3. Step 3: Cross multiply
    280.71x = 421.16 × 118.40
  4. Step 4: Simplify right side
    280.71x = 49,862.65
  5. Step 5: Solve for x
    x = 49,862.65/280.71
  6. Step 6: Final answer
    x = 177.63

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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.