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Finding the Fourth Proportional to 176.65, 263.57 and 150.68

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Solution

The fourth proportional to 176.65, 263.57 and 150.68 is: 224.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.65 : 263.57 = 150.68 : x
  2. Step 2: Convert to fraction form
    176.65/263.57 = 150.68/x
  3. Step 3: Cross multiply
    176.65x = 263.57 × 150.68
  4. Step 4: Simplify right side
    176.65x = 39,714.73
  5. Step 5: Solve for x
    x = 39,714.73/176.65
  6. Step 6: Final answer
    x = 224.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.