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Finding the Fourth Proportional to 315.42, 435.14 and 180.75

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Solution

The fourth proportional to 315.42, 435.14 and 180.75 is: 249.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.42 : 435.14 = 180.75 : x
  2. Step 2: Convert to fraction form
    315.42/435.14 = 180.75/x
  3. Step 3: Cross multiply
    315.42x = 435.14 × 180.75
  4. Step 4: Simplify right side
    315.42x = 78,652.96
  5. Step 5: Solve for x
    x = 78,652.96/315.42
  6. Step 6: Final answer
    x = 249.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.