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Finding the Fourth Proportional to 295.25, 407.98 and 212.22

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Solution

The fourth proportional to 295.25, 407.98 and 212.22 is: 293.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.25 : 407.98 = 212.22 : x
  2. Step 2: Convert to fraction form
    295.25/407.98 = 212.22/x
  3. Step 3: Cross multiply
    295.25x = 407.98 × 212.22
  4. Step 4: Simplify right side
    295.25x = 86,581.18
  5. Step 5: Solve for x
    x = 86,581.18/295.25
  6. Step 6: Final answer
    x = 293.24

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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.