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Finding the Fourth Proportional to 219.06, 328.57 and 97.24

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Solution

The fourth proportional to 219.06, 328.57 and 97.24 is: 145.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.06 : 328.57 = 97.24 : x
  2. Step 2: Convert to fraction form
    219.06/328.57 = 97.24/x
  3. Step 3: Cross multiply
    219.06x = 328.57 × 97.24
  4. Step 4: Simplify right side
    219.06x = 31,950.15
  5. Step 5: Solve for x
    x = 31,950.15/219.06
  6. Step 6: Final answer
    x = 145.85

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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.