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Finding the Fourth Proportional to 316.74, 475.11 and 152.22

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Solution

The fourth proportional to 316.74, 475.11 and 152.22 is: 228.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.74 : 475.11 = 152.22 : x
  2. Step 2: Convert to fraction form
    316.74/475.11 = 152.22/x
  3. Step 3: Cross multiply
    316.74x = 475.11 × 152.22
  4. Step 4: Simplify right side
    316.74x = 72,321.24
  5. Step 5: Solve for x
    x = 72,321.24/316.74
  6. Step 6: Final answer
    x = 228.33

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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.