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Finding the Fourth Proportional to 315.76, 435.61 and 205.24

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Solution

The fourth proportional to 315.76, 435.61 and 205.24 is: 283.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.76 : 435.61 = 205.24 : x
  2. Step 2: Convert to fraction form
    315.76/435.61 = 205.24/x
  3. Step 3: Cross multiply
    315.76x = 435.61 × 205.24
  4. Step 4: Simplify right side
    315.76x = 89,403.57
  5. Step 5: Solve for x
    x = 89,403.57/315.76
  6. Step 6: Final answer
    x = 283.14

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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.