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Finding the Fourth Proportional to 342.90, 473.08 and 193.50

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Solution

The fourth proportional to 342.90, 473.08 and 193.50 is: 266.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.90 : 473.08 = 193.50 : x
  2. Step 2: Convert to fraction form
    342.90/473.08 = 193.50/x
  3. Step 3: Cross multiply
    342.90x = 473.08 × 193.50
  4. Step 4: Simplify right side
    342.90x = 91,541.33
  5. Step 5: Solve for x
    x = 91,541.33/342.90
  6. Step 6: Final answer
    x = 266.97

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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.