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Finding the Fourth Proportional to 224.57, 310.01 and 150.08

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Solution

The fourth proportional to 224.57, 310.01 and 150.08 is: 207.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.57 : 310.01 = 150.08 : x
  2. Step 2: Convert to fraction form
    224.57/310.01 = 150.08/x
  3. Step 3: Cross multiply
    224.57x = 310.01 × 150.08
  4. Step 4: Simplify right side
    224.57x = 46,524.00
  5. Step 5: Solve for x
    x = 46,524.00/224.57
  6. Step 6: Final answer
    x = 207.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.