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Finding the Fourth Proportional to 315.74, 435.62 and 205.10

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Solution

The fourth proportional to 315.74, 435.62 and 205.10 is: 282.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.74 : 435.62 = 205.10 : x
  2. Step 2: Convert to fraction form
    315.74/435.62 = 205.10/x
  3. Step 3: Cross multiply
    315.74x = 435.62 × 205.10
  4. Step 4: Simplify right side
    315.74x = 89,345.66
  5. Step 5: Solve for x
    x = 89,345.66/315.74
  6. Step 6: Final answer
    x = 282.97

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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.