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Finding the Fourth Proportional to 295.97, 407.80 and 212.81

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Solution

The fourth proportional to 295.97, 407.80 and 212.81 is: 293.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.97 : 407.80 = 212.81 : x
  2. Step 2: Convert to fraction form
    295.97/407.80 = 212.81/x
  3. Step 3: Cross multiply
    295.97x = 407.80 × 212.81
  4. Step 4: Simplify right side
    295.97x = 86,782.15
  5. Step 5: Solve for x
    x = 86,782.15/295.97
  6. Step 6: Final answer
    x = 293.22

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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.