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Finding the Fourth Proportional to 220.08, 330.13 and 117.34

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Solution

The fourth proportional to 220.08, 330.13 and 117.34 is: 176.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.08 : 330.13 = 117.34 : x
  2. Step 2: Convert to fraction form
    220.08/330.13 = 117.34/x
  3. Step 3: Cross multiply
    220.08x = 330.13 × 117.34
  4. Step 4: Simplify right side
    220.08x = 38,737.97
  5. Step 5: Solve for x
    x = 38,737.97/220.08
  6. Step 6: Final answer
    x = 176.01

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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.