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Finding the Fourth Proportional to 322.46, 483.64 and 117.12

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Solution

The fourth proportional to 322.46, 483.64 and 117.12 is: 175.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.46 : 483.64 = 117.12 : x
  2. Step 2: Convert to fraction form
    322.46/483.64 = 117.12/x
  3. Step 3: Cross multiply
    322.46x = 483.64 × 117.12
  4. Step 4: Simplify right side
    322.46x = 56,643.92
  5. Step 5: Solve for x
    x = 56,643.92/322.46
  6. Step 6: Final answer
    x = 175.66

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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.