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Finding the Fourth Proportional to 295.06, 407.19 and 177.10

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Solution

The fourth proportional to 295.06, 407.19 and 177.10 is: 244.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.06 : 407.19 = 177.10 : x
  2. Step 2: Convert to fraction form
    295.06/407.19 = 177.10/x
  3. Step 3: Cross multiply
    295.06x = 407.19 × 177.10
  4. Step 4: Simplify right side
    295.06x = 72,112.46
  5. Step 5: Solve for x
    x = 72,112.46/295.06
  6. Step 6: Final answer
    x = 244.40

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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.