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Finding the Fourth Proportional to 217.25, 299.58 and 175.77

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Solution

The fourth proportional to 217.25, 299.58 and 175.77 is: 242.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.25 : 299.58 = 175.77 : x
  2. Step 2: Convert to fraction form
    217.25/299.58 = 175.77/x
  3. Step 3: Cross multiply
    217.25x = 299.58 × 175.77
  4. Step 4: Simplify right side
    217.25x = 52,657.18
  5. Step 5: Solve for x
    x = 52,657.18/217.25
  6. Step 6: Final answer
    x = 242.39

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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.