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Finding the Fourth Proportional to 343.75, 474.41 and 188.53

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Solution

The fourth proportional to 343.75, 474.41 and 188.53 is: 260.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.75 : 474.41 = 188.53 : x
  2. Step 2: Convert to fraction form
    343.75/474.41 = 188.53/x
  3. Step 3: Cross multiply
    343.75x = 474.41 × 188.53
  4. Step 4: Simplify right side
    343.75x = 89,439.57
  5. Step 5: Solve for x
    x = 89,439.57/343.75
  6. Step 6: Final answer
    x = 260.19

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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.