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Finding the Fourth Proportional to 322.54, 483.87 and 117.13

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Solution

The fourth proportional to 322.54, 483.87 and 117.13 is: 175.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.54 : 483.87 = 117.13 : x
  2. Step 2: Convert to fraction form
    322.54/483.87 = 117.13/x
  3. Step 3: Cross multiply
    322.54x = 483.87 × 117.13
  4. Step 4: Simplify right side
    322.54x = 56,675.69
  5. Step 5: Solve for x
    x = 56,675.69/322.54
  6. Step 6: Final answer
    x = 175.72

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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.