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Finding the Fourth Proportional to 315.70, 435.52 and 205.24

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Solution

The fourth proportional to 315.70, 435.52 and 205.24 is: 283.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.70 : 435.52 = 205.24 : x
  2. Step 2: Convert to fraction form
    315.70/435.52 = 205.24/x
  3. Step 3: Cross multiply
    315.70x = 435.52 × 205.24
  4. Step 4: Simplify right side
    315.70x = 89,386.12
  5. Step 5: Solve for x
    x = 89,386.12/315.70
  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.