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Finding the Fourth Proportional to 314, 470.69 and 131.50

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Solution

The fourth proportional to 314, 470.69 and 131.50 is: 197.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    314 : 470.69 = 131.50 : x
  2. Step 2: Convert to fraction form
    314/470.69 = 131.50/x
  3. Step 3: Cross multiply
    314x = 470.69 × 131.50
  4. Step 4: Simplify right side
    314x = 61,892.72
  5. Step 5: Solve for x
    x = 61,892.72/314
  6. Step 6: Final answer
    x = 197.11

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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.