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Finding the Fourth Proportional to 314.04, 470.92 and 119.08

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Solution

The fourth proportional to 314.04, 470.92 and 119.08 is: 178.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.04 : 470.92 = 119.08 : x
  2. Step 2: Convert to fraction form
    314.04/470.92 = 119.08/x
  3. Step 3: Cross multiply
    314.04x = 470.92 × 119.08
  4. Step 4: Simplify right side
    314.04x = 56,077.15
  5. Step 5: Solve for x
    x = 56,077.15/314.04
  6. Step 6: Final answer
    x = 178.57

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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.