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Finding the Fourth Proportional to 229.84, 317.04 and 185.92

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Solution

The fourth proportional to 229.84, 317.04 and 185.92 is: 256.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.84 : 317.04 = 185.92 : x
  2. Step 2: Convert to fraction form
    229.84/317.04 = 185.92/x
  3. Step 3: Cross multiply
    229.84x = 317.04 × 185.92
  4. Step 4: Simplify right side
    229.84x = 58,944.08
  5. Step 5: Solve for x
    x = 58,944.08/229.84
  6. Step 6: Final answer
    x = 256.46

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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.