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Finding the Fourth Proportional to 356.42, 535.85 and 234.92

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Solution

The fourth proportional to 356.42, 535.85 and 234.92 is: 353.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.42 : 535.85 = 234.92 : x
  2. Step 2: Convert to fraction form
    356.42/535.85 = 234.92/x
  3. Step 3: Cross multiply
    356.42x = 535.85 × 234.92
  4. Step 4: Simplify right side
    356.42x = 125,881.88
  5. Step 5: Solve for x
    x = 125,881.88/356.42
  6. Step 6: Final answer
    x = 353.18

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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.