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Finding the Fourth Proportional to 317.15, 437.64 and 204.99

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Solution

The fourth proportional to 317.15, 437.64 and 204.99 is: 282.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.15 : 437.64 = 204.99 : x
  2. Step 2: Convert to fraction form
    317.15/437.64 = 204.99/x
  3. Step 3: Cross multiply
    317.15x = 437.64 × 204.99
  4. Step 4: Simplify right side
    317.15x = 89,711.82
  5. Step 5: Solve for x
    x = 89,711.82/317.15
  6. Step 6: Final answer
    x = 282.87

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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.