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Finding the Fourth Proportional to 218.67, 328.09 and 97.02

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Solution

The fourth proportional to 218.67, 328.09 and 97.02 is: 145.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.67 : 328.09 = 97.02 : x
  2. Step 2: Convert to fraction form
    218.67/328.09 = 97.02/x
  3. Step 3: Cross multiply
    218.67x = 328.09 × 97.02
  4. Step 4: Simplify right side
    218.67x = 31,831.28
  5. Step 5: Solve for x
    x = 31,831.28/218.67
  6. Step 6: Final answer
    x = 145.57

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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.