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Finding the Fourth Proportional to 230.34, 345.51 and 102.18

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Solution

The fourth proportional to 230.34, 345.51 and 102.18 is: 153.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.34 : 345.51 = 102.18 : x
  2. Step 2: Convert to fraction form
    230.34/345.51 = 102.18/x
  3. Step 3: Cross multiply
    230.34x = 345.51 × 102.18
  4. Step 4: Simplify right side
    230.34x = 35,304.21
  5. Step 5: Solve for x
    x = 35,304.21/230.34
  6. Step 6: Final answer
    x = 153.27

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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.