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Finding the Fourth Proportional to 317.57, 438.24 and 175.77

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Solution

The fourth proportional to 317.57, 438.24 and 175.77 is: 242.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.57 : 438.24 = 175.77 : x
  2. Step 2: Convert to fraction form
    317.57/438.24 = 175.77/x
  3. Step 3: Cross multiply
    317.57x = 438.24 × 175.77
  4. Step 4: Simplify right side
    317.57x = 77,029.44
  5. Step 5: Solve for x
    x = 77,029.44/317.57
  6. Step 6: Final answer
    x = 242.56

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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.