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Finding the Fourth Proportional to 322.13, 482.81 and 148.92

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Solution

The fourth proportional to 322.13, 482.81 and 148.92 is: 223.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.13 : 482.81 = 148.92 : x
  2. Step 2: Convert to fraction form
    322.13/482.81 = 148.92/x
  3. Step 3: Cross multiply
    322.13x = 482.81 × 148.92
  4. Step 4: Simplify right side
    322.13x = 71,899.32
  5. Step 5: Solve for x
    x = 71,899.32/322.13
  6. Step 6: Final answer
    x = 223.20

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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.