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Finding the Fourth Proportional to 294.71, 406.64 and 170.35

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Solution

The fourth proportional to 294.71, 406.64 and 170.35 is: 235.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.71 : 406.64 = 170.35 : x
  2. Step 2: Convert to fraction form
    294.71/406.64 = 170.35/x
  3. Step 3: Cross multiply
    294.71x = 406.64 × 170.35
  4. Step 4: Simplify right side
    294.71x = 69,270.53
  5. Step 5: Solve for x
    x = 69,270.53/294.71
  6. Step 6: Final answer
    x = 235.05

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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.