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Finding the Fourth Proportional to 409.95, 614.97 and 150.08

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Solution

The fourth proportional to 409.95, 614.97 and 150.08 is: 225.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.95 : 614.97 = 150.08 : x
  2. Step 2: Convert to fraction form
    409.95/614.97 = 150.08/x
  3. Step 3: Cross multiply
    409.95x = 614.97 × 150.08
  4. Step 4: Simplify right side
    409.95x = 92,291.62
  5. Step 5: Solve for x
    x = 92,291.62/409.95
  6. Step 6: Final answer
    x = 225.13

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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.