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Finding the Fourth Proportional to 317.24, 437.76 and 186.28

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Solution

The fourth proportional to 317.24, 437.76 and 186.28 is: 257.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.24 : 437.76 = 186.28 : x
  2. Step 2: Convert to fraction form
    317.24/437.76 = 186.28/x
  3. Step 3: Cross multiply
    317.24x = 437.76 × 186.28
  4. Step 4: Simplify right side
    317.24x = 81,545.93
  5. Step 5: Solve for x
    x = 81,545.93/317.24
  6. Step 6: Final answer
    x = 257.05

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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.