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Finding the Fourth Proportional to 230.17, 317.63 and 130.57

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Solution

The fourth proportional to 230.17, 317.63 and 130.57 is: 180.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.17 : 317.63 = 130.57 : x
  2. Step 2: Convert to fraction form
    230.17/317.63 = 130.57/x
  3. Step 3: Cross multiply
    230.17x = 317.63 × 130.57
  4. Step 4: Simplify right side
    230.17x = 41,472.95
  5. Step 5: Solve for x
    x = 41,472.95/230.17
  6. Step 6: Final answer
    x = 180.18

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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.