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Finding the Fourth Proportional to 410.14, 615.27 and 150.08

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Solution

The fourth proportional to 410.14, 615.27 and 150.08 is: 225.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.14 : 615.27 = 150.08 : x
  2. Step 2: Convert to fraction form
    410.14/615.27 = 150.08/x
  3. Step 3: Cross multiply
    410.14x = 615.27 × 150.08
  4. Step 4: Simplify right side
    410.14x = 92,336.27
  5. Step 5: Solve for x
    x = 92,336.27/410.14
  6. Step 6: Final answer
    x = 225.14

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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.