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Finding the Fourth Proportional to 149.78, 224.70 and 88.88

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Solution

The fourth proportional to 149.78, 224.70 and 88.88 is: 133.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.78 : 224.70 = 88.88 : x
  2. Step 2: Convert to fraction form
    149.78/224.70 = 88.88/x
  3. Step 3: Cross multiply
    149.78x = 224.70 × 88.88
  4. Step 4: Simplify right side
    149.78x = 19,971.34
  5. Step 5: Solve for x
    x = 19,971.34/149.78
  6. Step 6: Final answer
    x = 133.34

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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.