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Finding the Fourth Proportional to 207.23, 309.15 and 178.61

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Solution

The fourth proportional to 207.23, 309.15 and 178.61 is: 266.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.23 : 309.15 = 178.61 : x
  2. Step 2: Convert to fraction form
    207.23/309.15 = 178.61/x
  3. Step 3: Cross multiply
    207.23x = 309.15 × 178.61
  4. Step 4: Simplify right side
    207.23x = 55,215.74
  5. Step 5: Solve for x
    x = 55,215.74/207.23
  6. Step 6: Final answer
    x = 266.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.