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Finding the Fourth Proportional to 343.99, 474.74 and 188.75

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Solution

The fourth proportional to 343.99, 474.74 and 188.75 is: 260.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.99 : 474.74 = 188.75 : x
  2. Step 2: Convert to fraction form
    343.99/474.74 = 188.75/x
  3. Step 3: Cross multiply
    343.99x = 474.74 × 188.75
  4. Step 4: Simplify right side
    343.99x = 89,606.23
  5. Step 5: Solve for x
    x = 89,606.23/343.99
  6. Step 6: Final answer
    x = 260.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.