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Finding the Fourth Proportional to 149.49, 224.00 and 117.57

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Solution

The fourth proportional to 149.49, 224.00 and 117.57 is: 176.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.49 : 224.00 = 117.57 : x
  2. Step 2: Convert to fraction form
    149.49/224.00 = 117.57/x
  3. Step 3: Cross multiply
    149.49x = 224.00 × 117.57
  4. Step 4: Simplify right side
    149.49x = 26,335.09
  5. Step 5: Solve for x
    x = 26,335.09/149.49
  6. Step 6: Final answer
    x = 176.17

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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.