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Finding the Fourth Proportional to 230.20, 317.62 and 142.84

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Solution

The fourth proportional to 230.20, 317.62 and 142.84 is: 197.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.20 : 317.62 = 142.84 : x
  2. Step 2: Convert to fraction form
    230.20/317.62 = 142.84/x
  3. Step 3: Cross multiply
    230.20x = 317.62 × 142.84
  4. Step 4: Simplify right side
    230.20x = 45,368.84
  5. Step 5: Solve for x
    x = 45,368.84/230.20
  6. Step 6: Final answer
    x = 197.08

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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.