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Finding the Fourth Proportional to 219.17, 328.81 and 65.10

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Solution

The fourth proportional to 219.17, 328.81 and 65.10 is: 97.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.17 : 328.81 = 65.10 : x
  2. Step 2: Convert to fraction form
    219.17/328.81 = 65.10/x
  3. Step 3: Cross multiply
    219.17x = 328.81 × 65.10
  4. Step 4: Simplify right side
    219.17x = 21,403.89
  5. Step 5: Solve for x
    x = 21,403.89/219.17
  6. Step 6: Final answer
    x = 97.66

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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.