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Finding the Fourth Proportional to 149.83, 224.54 and 84.82

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Solution

The fourth proportional to 149.83, 224.54 and 84.82 is: 127.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.83 : 224.54 = 84.82 : x
  2. Step 2: Convert to fraction form
    149.83/224.54 = 84.82/x
  3. Step 3: Cross multiply
    149.83x = 224.54 × 84.82
  4. Step 4: Simplify right side
    149.83x = 19,045.48
  5. Step 5: Solve for x
    x = 19,045.48/149.83
  6. Step 6: Final answer
    x = 127.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.