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Finding the Fourth Proportional to 225.88, 311.61 and 152.17

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Solution

The fourth proportional to 225.88, 311.61 and 152.17 is: 209.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.88 : 311.61 = 152.17 : x
  2. Step 2: Convert to fraction form
    225.88/311.61 = 152.17/x
  3. Step 3: Cross multiply
    225.88x = 311.61 × 152.17
  4. Step 4: Simplify right side
    225.88x = 47,417.69
  5. Step 5: Solve for x
    x = 47,417.69/225.88
  6. Step 6: Final answer
    x = 209.92

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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.