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Finding the Fourth Proportional to 316.77, 475.13 and 152.21

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Solution

The fourth proportional to 316.77, 475.13 and 152.21 is: 228.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.77 : 475.13 = 152.21 : x
  2. Step 2: Convert to fraction form
    316.77/475.13 = 152.21/x
  3. Step 3: Cross multiply
    316.77x = 475.13 × 152.21
  4. Step 4: Simplify right side
    316.77x = 72,316.40
  5. Step 5: Solve for x
    x = 72,316.40/316.77
  6. Step 6: Final answer
    x = 228.29

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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.