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Finding the Fourth Proportional to 214.71, 320.46 and 191.31

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Solution

The fourth proportional to 214.71, 320.46 and 191.31 is: 285.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.71 : 320.46 = 191.31 : x
  2. Step 2: Convert to fraction form
    214.71/320.46 = 191.31/x
  3. Step 3: Cross multiply
    214.71x = 320.46 × 191.31
  4. Step 4: Simplify right side
    214.71x = 61,307.20
  5. Step 5: Solve for x
    x = 61,307.20/214.71
  6. Step 6: Final answer
    x = 285.53

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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.