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Finding the Fourth Proportional to 218.86, 328.34 and 97.12

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Solution

The fourth proportional to 218.86, 328.34 and 97.12 is: 145.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.86 : 328.34 = 97.12 : x
  2. Step 2: Convert to fraction form
    218.86/328.34 = 97.12/x
  3. Step 3: Cross multiply
    218.86x = 328.34 × 97.12
  4. Step 4: Simplify right side
    218.86x = 31,886.25
  5. Step 5: Solve for x
    x = 31,886.25/218.86
  6. Step 6: Final answer
    x = 145.70

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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.