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Finding the Fourth Proportional to 234.13, 322.91 and 146.65

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Solution

The fourth proportional to 234.13, 322.91 and 146.65 is: 202.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.13 : 322.91 = 146.65 : x
  2. Step 2: Convert to fraction form
    234.13/322.91 = 146.65/x
  3. Step 3: Cross multiply
    234.13x = 322.91 × 146.65
  4. Step 4: Simplify right side
    234.13x = 47,354.75
  5. Step 5: Solve for x
    x = 47,354.75/234.13
  6. Step 6: Final answer
    x = 202.26

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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.