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Finding the Fourth Proportional to 148.66, 222.95 and 97.66

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Solution

The fourth proportional to 148.66, 222.95 and 97.66 is: 146.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.66 : 222.95 = 97.66 : x
  2. Step 2: Convert to fraction form
    148.66/222.95 = 97.66/x
  3. Step 3: Cross multiply
    148.66x = 222.95 × 97.66
  4. Step 4: Simplify right side
    148.66x = 21,772.18
  5. Step 5: Solve for x
    x = 21,772.18/148.66
  6. Step 6: Final answer
    x = 146.46

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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.