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Finding the Fourth Proportional to 230.03, 317.38 and 141.53

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Solution

The fourth proportional to 230.03, 317.38 and 141.53 is: 195.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.03 : 317.38 = 141.53 : x
  2. Step 2: Convert to fraction form
    230.03/317.38 = 141.53/x
  3. Step 3: Cross multiply
    230.03x = 317.38 × 141.53
  4. Step 4: Simplify right side
    230.03x = 44,916.85
  5. Step 5: Solve for x
    x = 44,916.85/230.03
  6. Step 6: Final answer
    x = 195.26

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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.