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Finding the Fourth Proportional to 176.65, 243.78 and 106.70

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Solution

The fourth proportional to 176.65, 243.78 and 106.70 is: 147.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.65 : 243.78 = 106.70 : x
  2. Step 2: Convert to fraction form
    176.65/243.78 = 106.70/x
  3. Step 3: Cross multiply
    176.65x = 243.78 × 106.70
  4. Step 4: Simplify right side
    176.65x = 26,011.33
  5. Step 5: Solve for x
    x = 26,011.33/176.65
  6. Step 6: Final answer
    x = 147.25

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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.