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Finding the Fourth Proportional to 295.19, 407.28 and 177.14

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Solution

The fourth proportional to 295.19, 407.28 and 177.14 is: 244.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.19 : 407.28 = 177.14 : x
  2. Step 2: Convert to fraction form
    295.19/407.28 = 177.14/x
  3. Step 3: Cross multiply
    295.19x = 407.28 × 177.14
  4. Step 4: Simplify right side
    295.19x = 72,143.97
  5. Step 5: Solve for x
    x = 72,143.97/295.19
  6. Step 6: Final answer
    x = 244.39

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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.