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Finding the Fourth Proportional to 219.60, 303.48 and 214.74

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Solution

The fourth proportional to 219.60, 303.48 and 214.74 is: 296.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.60 : 303.48 = 214.74 : x
  2. Step 2: Convert to fraction form
    219.60/303.48 = 214.74/x
  3. Step 3: Cross multiply
    219.60x = 303.48 × 214.74
  4. Step 4: Simplify right side
    219.60x = 65,169.30
  5. Step 5: Solve for x
    x = 65,169.30/219.60
  6. Step 6: Final answer
    x = 296.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.