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Finding the Fourth Proportional to 230.03, 345.14 and 114.47

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Solution

The fourth proportional to 230.03, 345.14 and 114.47 is: 171.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.03 : 345.14 = 114.47 : x
  2. Step 2: Convert to fraction form
    230.03/345.14 = 114.47/x
  3. Step 3: Cross multiply
    230.03x = 345.14 × 114.47
  4. Step 4: Simplify right side
    230.03x = 39,508.18
  5. Step 5: Solve for x
    x = 39,508.18/230.03
  6. Step 6: Final answer
    x = 171.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.