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Finding the Fourth Proportional to 295.12, 407.22 and 177.06

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Solution

The fourth proportional to 295.12, 407.22 and 177.06 is: 244.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.12 : 407.22 = 177.06 : x
  2. Step 2: Convert to fraction form
    295.12/407.22 = 177.06/x
  3. Step 3: Cross multiply
    295.12x = 407.22 × 177.06
  4. Step 4: Simplify right side
    295.12x = 72,103.90
  5. Step 5: Solve for x
    x = 72,103.90/295.12
  6. Step 6: Final answer
    x = 244.32

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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.