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Finding the Fourth Proportional to 148.76, 224.00 and 110.51

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Solution

The fourth proportional to 148.76, 224.00 and 110.51 is: 166.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.76 : 224.00 = 110.51 : x
  2. Step 2: Convert to fraction form
    148.76/224.00 = 110.51/x
  3. Step 3: Cross multiply
    148.76x = 224.00 × 110.51
  4. Step 4: Simplify right side
    148.76x = 24,753.40
  5. Step 5: Solve for x
    x = 24,753.40/148.76
  6. Step 6: Final answer
    x = 166.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.