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Finding the Fourth Proportional to 371.74, 557.06 and 188.89

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Solution

The fourth proportional to 371.74, 557.06 and 188.89 is: 283.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.74 : 557.06 = 188.89 : x
  2. Step 2: Convert to fraction form
    371.74/557.06 = 188.89/x
  3. Step 3: Cross multiply
    371.74x = 557.06 × 188.89
  4. Step 4: Simplify right side
    371.74x = 105,223.06
  5. Step 5: Solve for x
    x = 105,223.06/371.74
  6. Step 6: Final answer
    x = 283.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.