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Finding the Fourth Proportional to 219.19, 328.50 and 97.31

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Solution

The fourth proportional to 219.19, 328.50 and 97.31 is: 145.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.19 : 328.50 = 97.31 : x
  2. Step 2: Convert to fraction form
    219.19/328.50 = 97.31/x
  3. Step 3: Cross multiply
    219.19x = 328.50 × 97.31
  4. Step 4: Simplify right side
    219.19x = 31,966.34
  5. Step 5: Solve for x
    x = 31,966.34/219.19
  6. Step 6: Final answer
    x = 145.84

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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.