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Finding the Fourth Proportional to 295.46, 407.70 and 171.08

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Solution

The fourth proportional to 295.46, 407.70 and 171.08 is: 236.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.46 : 407.70 = 171.08 : x
  2. Step 2: Convert to fraction form
    295.46/407.70 = 171.08/x
  3. Step 3: Cross multiply
    295.46x = 407.70 × 171.08
  4. Step 4: Simplify right side
    295.46x = 69,747.28
  5. Step 5: Solve for x
    x = 69,747.28/295.46
  6. Step 6: Final answer
    x = 236.07

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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.