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Finding the Fourth Proportional to 230.42, 345.54 and 102.18

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Solution

The fourth proportional to 230.42, 345.54 and 102.18 is: 153.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.42 : 345.54 = 102.18 : x
  2. Step 2: Convert to fraction form
    230.42/345.54 = 102.18/x
  3. Step 3: Cross multiply
    230.42x = 345.54 × 102.18
  4. Step 4: Simplify right side
    230.42x = 35,307.28
  5. Step 5: Solve for x
    x = 35,307.28/230.42
  6. Step 6: Final answer
    x = 153.23

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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.