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Finding the Fourth Proportional to 314.04, 470.64 and 198.12

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Solution

The fourth proportional to 314.04, 470.64 and 198.12 is: 296.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.04 : 470.64 = 198.12 : x
  2. Step 2: Convert to fraction form
    314.04/470.64 = 198.12/x
  3. Step 3: Cross multiply
    314.04x = 470.64 × 198.12
  4. Step 4: Simplify right side
    314.04x = 93,243.20
  5. Step 5: Solve for x
    x = 93,243.20/314.04
  6. Step 6: Final answer
    x = 296.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.