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Finding the Fourth Proportional to 316.49, 474.73 and 97.11

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Solution

The fourth proportional to 316.49, 474.73 and 97.11 is: 145.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.49 : 474.73 = 97.11 : x
  2. Step 2: Convert to fraction form
    316.49/474.73 = 97.11/x
  3. Step 3: Cross multiply
    316.49x = 474.73 × 97.11
  4. Step 4: Simplify right side
    316.49x = 46,100.79
  5. Step 5: Solve for x
    x = 46,100.79/316.49
  6. Step 6: Final answer
    x = 145.67

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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.