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Finding the Fourth Proportional to 343.48, 473.99 and 186.11

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Solution

The fourth proportional to 343.48, 473.99 and 186.11 is: 256.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.48 : 473.99 = 186.11 : x
  2. Step 2: Convert to fraction form
    343.48/473.99 = 186.11/x
  3. Step 3: Cross multiply
    343.48x = 473.99 × 186.11
  4. Step 4: Simplify right side
    343.48x = 88,214.33
  5. Step 5: Solve for x
    x = 88,214.33/343.48
  6. Step 6: Final answer
    x = 256.83

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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.