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Finding the Fourth Proportional to 219.13, 328.70 and 72.88

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Solution

The fourth proportional to 219.13, 328.70 and 72.88 is: 109.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.13 : 328.70 = 72.88 : x
  2. Step 2: Convert to fraction form
    219.13/328.70 = 72.88/x
  3. Step 3: Cross multiply
    219.13x = 328.70 × 72.88
  4. Step 4: Simplify right side
    219.13x = 23,955.02
  5. Step 5: Solve for x
    x = 23,955.02/219.13
  6. Step 6: Final answer
    x = 109.32

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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.