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Finding the Fourth Proportional to 230.77, 318.32 and 152.11

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Solution

The fourth proportional to 230.77, 318.32 and 152.11 is: 209.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.77 : 318.32 = 152.11 : x
  2. Step 2: Convert to fraction form
    230.77/318.32 = 152.11/x
  3. Step 3: Cross multiply
    230.77x = 318.32 × 152.11
  4. Step 4: Simplify right side
    230.77x = 48,418.06
  5. Step 5: Solve for x
    x = 48,418.06/230.77
  6. Step 6: Final answer
    x = 209.82

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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.