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Finding the Fourth Proportional to 295.35, 406.53 and 207.87

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Solution

The fourth proportional to 295.35, 406.53 and 207.87 is: 286.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.35 : 406.53 = 207.87 : x
  2. Step 2: Convert to fraction form
    295.35/406.53 = 207.87/x
  3. Step 3: Cross multiply
    295.35x = 406.53 × 207.87
  4. Step 4: Simplify right side
    295.35x = 84,505.39
  5. Step 5: Solve for x
    x = 84,505.39/295.35
  6. Step 6: Final answer
    x = 286.12

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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.