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Finding the Fourth Proportional to 322.86, 484.34 and 117.39

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Solution

The fourth proportional to 322.86, 484.34 and 117.39 is: 176.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.86 : 484.34 = 117.39 : x
  2. Step 2: Convert to fraction form
    322.86/484.34 = 117.39/x
  3. Step 3: Cross multiply
    322.86x = 484.34 × 117.39
  4. Step 4: Simplify right side
    322.86x = 56,856.67
  5. Step 5: Solve for x
    x = 56,856.67/322.86
  6. Step 6: Final answer
    x = 176.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.