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Finding the Fourth Proportional to 162.80, 224.67 and 110.25

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Solution

The fourth proportional to 162.80, 224.67 and 110.25 is: 152.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.80 : 224.67 = 110.25 : x
  2. Step 2: Convert to fraction form
    162.80/224.67 = 110.25/x
  3. Step 3: Cross multiply
    162.80x = 224.67 × 110.25
  4. Step 4: Simplify right side
    162.80x = 24,769.87
  5. Step 5: Solve for x
    x = 24,769.87/162.80
  6. Step 6: Final answer
    x = 152.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.