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Finding the Fourth Proportional to 207.49, 310.93 and 156.17

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Solution

The fourth proportional to 207.49, 310.93 and 156.17 is: 234.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.49 : 310.93 = 156.17 : x
  2. Step 2: Convert to fraction form
    207.49/310.93 = 156.17/x
  3. Step 3: Cross multiply
    207.49x = 310.93 × 156.17
  4. Step 4: Simplify right side
    207.49x = 48,557.94
  5. Step 5: Solve for x
    x = 48,557.94/207.49
  6. Step 6: Final answer
    x = 234.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.