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Finding the Fourth Proportional to 315.39, 435.24 and 182.61

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Solution

The fourth proportional to 315.39, 435.24 and 182.61 is: 252.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.39 : 435.24 = 182.61 : x
  2. Step 2: Convert to fraction form
    315.39/435.24 = 182.61/x
  3. Step 3: Cross multiply
    315.39x = 435.24 × 182.61
  4. Step 4: Simplify right side
    315.39x = 79,479.18
  5. Step 5: Solve for x
    x = 79,479.18/315.39
  6. Step 6: Final answer
    x = 252.00

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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.