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Finding the Fourth Proportional to 250.16, 344.86 and 176.24

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Solution

The fourth proportional to 250.16, 344.86 and 176.24 is: 242.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.16 : 344.86 = 176.24 : x
  2. Step 2: Convert to fraction form
    250.16/344.86 = 176.24/x
  3. Step 3: Cross multiply
    250.16x = 344.86 × 176.24
  4. Step 4: Simplify right side
    250.16x = 60,778.55
  5. Step 5: Solve for x
    x = 60,778.55/250.16
  6. Step 6: Final answer
    x = 242.96

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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.