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Finding the Fourth Proportional to 316.76, 474.89 and 154.40

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Solution

The fourth proportional to 316.76, 474.89 and 154.40 is: 231.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.76 : 474.89 = 154.40 : x
  2. Step 2: Convert to fraction form
    316.76/474.89 = 154.40/x
  3. Step 3: Cross multiply
    316.76x = 474.89 × 154.40
  4. Step 4: Simplify right side
    316.76x = 73,322.24
  5. Step 5: Solve for x
    x = 73,322.24/316.76
  6. Step 6: Final answer
    x = 231.48

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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.