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Finding the Fourth Proportional to 343.31, 473.77 and 185.93

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Solution

The fourth proportional to 343.31, 473.77 and 185.93 is: 256.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.31 : 473.77 = 185.93 : x
  2. Step 2: Convert to fraction form
    343.31/473.77 = 185.93/x
  3. Step 3: Cross multiply
    343.31x = 473.77 × 185.93
  4. Step 4: Simplify right side
    343.31x = 88,089.14
  5. Step 5: Solve for x
    x = 88,089.14/343.31
  6. Step 6: Final answer
    x = 256.59

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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.