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Finding the Fourth Proportional to 409.52, 614.15 and 178.35

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Solution

The fourth proportional to 409.52, 614.15 and 178.35 is: 267.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.52 : 614.15 = 178.35 : x
  2. Step 2: Convert to fraction form
    409.52/614.15 = 178.35/x
  3. Step 3: Cross multiply
    409.52x = 614.15 × 178.35
  4. Step 4: Simplify right side
    409.52x = 109,533.65
  5. Step 5: Solve for x
    x = 109,533.65/409.52
  6. Step 6: Final answer
    x = 267.47

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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.