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Finding the Fourth Proportional to 312.56, 431.16 and 207.50

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Solution

The fourth proportional to 312.56, 431.16 and 207.50 is: 286.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.56 : 431.16 = 207.50 : x
  2. Step 2: Convert to fraction form
    312.56/431.16 = 207.50/x
  3. Step 3: Cross multiply
    312.56x = 431.16 × 207.50
  4. Step 4: Simplify right side
    312.56x = 89,462.77
  5. Step 5: Solve for x
    x = 89,462.77/312.56
  6. Step 6: Final answer
    x = 286.23

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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.