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Finding the Fourth Proportional to 219.24, 328.86 and 97.50

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Solution

The fourth proportional to 219.24, 328.86 and 97.50 is: 146.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.24 : 328.86 = 97.50 : x
  2. Step 2: Convert to fraction form
    219.24/328.86 = 97.50/x
  3. Step 3: Cross multiply
    219.24x = 328.86 × 97.50
  4. Step 4: Simplify right side
    219.24x = 32,063.85
  5. Step 5: Solve for x
    x = 32,063.85/219.24
  6. Step 6: Final answer
    x = 146.25

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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.