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Finding the Fourth Proportional to 230.36, 317.84 and 132.14

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Solution

The fourth proportional to 230.36, 317.84 and 132.14 is: 182.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.36 : 317.84 = 132.14 : x
  2. Step 2: Convert to fraction form
    230.36/317.84 = 132.14/x
  3. Step 3: Cross multiply
    230.36x = 317.84 × 132.14
  4. Step 4: Simplify right side
    230.36x = 41,999.38
  5. Step 5: Solve for x
    x = 41,999.38/230.36
  6. Step 6: Final answer
    x = 182.32

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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.