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Finding the Fourth Proportional to 354.18, 531.69 and 210

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Solution

The fourth proportional to 354.18, 531.69 and 210 is: 315.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.18 : 531.69 = 210 : x
  2. Step 2: Convert to fraction form
    354.18/531.69 = 210/x
  3. Step 3: Cross multiply
    354.18x = 531.69 × 210
  4. Step 4: Simplify right side
    354.18x = 111,654.90
  5. Step 5: Solve for x
    x = 111,654.90/354.18
  6. Step 6: Final answer
    x = 315.25

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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.