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Finding the Fourth Proportional to 230.84, 318.64 and 152.04

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Solution

The fourth proportional to 230.84, 318.64 and 152.04 is: 209.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.84 : 318.64 = 152.04 : x
  2. Step 2: Convert to fraction form
    230.84/318.64 = 152.04/x
  3. Step 3: Cross multiply
    230.84x = 318.64 × 152.04
  4. Step 4: Simplify right side
    230.84x = 48,446.03
  5. Step 5: Solve for x
    x = 48,446.03/230.84
  6. Step 6: Final answer
    x = 209.87

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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.