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Finding the Fourth Proportional to 219.14, 328.26 and 101.84

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Solution

The fourth proportional to 219.14, 328.26 and 101.84 is: 152.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.14 : 328.26 = 101.84 : x
  2. Step 2: Convert to fraction form
    219.14/328.26 = 101.84/x
  3. Step 3: Cross multiply
    219.14x = 328.26 × 101.84
  4. Step 4: Simplify right side
    219.14x = 33,431.20
  5. Step 5: Solve for x
    x = 33,431.20/219.14
  6. Step 6: Final answer
    x = 152.56

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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.