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Finding the Fourth Proportional to 217.47, 299.70 and 175.86

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Solution

The fourth proportional to 217.47, 299.70 and 175.86 is: 242.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.47 : 299.70 = 175.86 : x
  2. Step 2: Convert to fraction form
    217.47/299.70 = 175.86/x
  3. Step 3: Cross multiply
    217.47x = 299.70 × 175.86
  4. Step 4: Simplify right side
    217.47x = 52,705.24
  5. Step 5: Solve for x
    x = 52,705.24/217.47
  6. Step 6: Final answer
    x = 242.36

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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.