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Finding the Fourth Proportional to 342.79, 473 and 195.40

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Solution

The fourth proportional to 342.79, 473 and 195.40 is: 269.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.79 : 473 = 195.40 : x
  2. Step 2: Convert to fraction form
    342.79/473 = 195.40/x
  3. Step 3: Cross multiply
    342.79x = 473 × 195.40
  4. Step 4: Simplify right side
    342.79x = 92,424.20
  5. Step 5: Solve for x
    x = 92,424.20/342.79
  6. Step 6: Final answer
    x = 269.62

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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.