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Finding the Fourth Proportional to 181.38, 250.02 and 152.22

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Solution

The fourth proportional to 181.38, 250.02 and 152.22 is: 209.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.38 : 250.02 = 152.22 : x
  2. Step 2: Convert to fraction form
    181.38/250.02 = 152.22/x
  3. Step 3: Cross multiply
    181.38x = 250.02 × 152.22
  4. Step 4: Simplify right side
    181.38x = 38,058.04
  5. Step 5: Solve for x
    x = 38,058.04/181.38
  6. Step 6: Final answer
    x = 209.82

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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.