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Finding the Fourth Proportional to 235.50, 351.11 and 214.76

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Solution

The fourth proportional to 235.50, 351.11 and 214.76 is: 320.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.50 : 351.11 = 214.76 : x
  2. Step 2: Convert to fraction form
    235.50/351.11 = 214.76/x
  3. Step 3: Cross multiply
    235.50x = 351.11 × 214.76
  4. Step 4: Simplify right side
    235.50x = 75,404.38
  5. Step 5: Solve for x
    x = 75,404.38/235.50
  6. Step 6: Final answer
    x = 320.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.