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Finding the Fourth Proportional to 371.59, 557.52 and 189.07

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Solution

The fourth proportional to 371.59, 557.52 and 189.07 is: 283.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.59 : 557.52 = 189.07 : x
  2. Step 2: Convert to fraction form
    371.59/557.52 = 189.07/x
  3. Step 3: Cross multiply
    371.59x = 557.52 × 189.07
  4. Step 4: Simplify right side
    371.59x = 105,410.31
  5. Step 5: Solve for x
    x = 105,410.31/371.59
  6. Step 6: Final answer
    x = 283.67

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Why These Related Problems?

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