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Finding the Fourth Proportional to 322.52, 483.82 and 117.14

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Solution

The fourth proportional to 322.52, 483.82 and 117.14 is: 175.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.52 : 483.82 = 117.14 : x
  2. Step 2: Convert to fraction form
    322.52/483.82 = 117.14/x
  3. Step 3: Cross multiply
    322.52x = 483.82 × 117.14
  4. Step 4: Simplify right side
    322.52x = 56,674.67
  5. Step 5: Solve for x
    x = 56,674.67/322.52
  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.