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Finding the Fourth Proportional to 317.88, 438.35 and 207.14

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Solution

The fourth proportional to 317.88, 438.35 and 207.14 is: 285.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.88 : 438.35 = 207.14 : x
  2. Step 2: Convert to fraction form
    317.88/438.35 = 207.14/x
  3. Step 3: Cross multiply
    317.88x = 438.35 × 207.14
  4. Step 4: Simplify right side
    317.88x = 90,796.59
  5. Step 5: Solve for x
    x = 90,796.59/317.88
  6. Step 6: Final answer
    x = 285.63

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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.