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Finding the Fourth Proportional to 313.82, 470.68 and 97.40

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Solution

The fourth proportional to 313.82, 470.68 and 97.40 is: 146.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.82 : 470.68 = 97.40 : x
  2. Step 2: Convert to fraction form
    313.82/470.68 = 97.40/x
  3. Step 3: Cross multiply
    313.82x = 470.68 × 97.40
  4. Step 4: Simplify right side
    313.82x = 45,844.23
  5. Step 5: Solve for x
    x = 45,844.23/313.82
  6. Step 6: Final answer
    x = 146.08

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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.