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Finding the Fourth Proportional to 342.04, 471.98 and 194.66

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Solution

The fourth proportional to 342.04, 471.98 and 194.66 is: 268.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.04 : 471.98 = 194.66 : x
  2. Step 2: Convert to fraction form
    342.04/471.98 = 194.66/x
  3. Step 3: Cross multiply
    342.04x = 471.98 × 194.66
  4. Step 4: Simplify right side
    342.04x = 91,875.63
  5. Step 5: Solve for x
    x = 91,875.63/342.04
  6. Step 6: Final answer
    x = 268.61

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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.