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Finding the Fourth Proportional to 314.02, 470.34 and 191.91

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Solution

The fourth proportional to 314.02, 470.34 and 191.91 is: 287.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.02 : 470.34 = 191.91 : x
  2. Step 2: Convert to fraction form
    314.02/470.34 = 191.91/x
  3. Step 3: Cross multiply
    314.02x = 470.34 × 191.91
  4. Step 4: Simplify right side
    314.02x = 90,261.99
  5. Step 5: Solve for x
    x = 90,261.99/314.02
  6. Step 6: Final answer
    x = 287.44

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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.