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Finding the Fourth Proportional to 232.02, 319.90 and 176.65

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Solution

The fourth proportional to 232.02, 319.90 and 176.65 is: 243.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.02 : 319.90 = 176.65 : x
  2. Step 2: Convert to fraction form
    232.02/319.90 = 176.65/x
  3. Step 3: Cross multiply
    232.02x = 319.90 × 176.65
  4. Step 4: Simplify right side
    232.02x = 56,510.34
  5. Step 5: Solve for x
    x = 56,510.34/232.02
  6. Step 6: Final answer
    x = 243.56

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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.