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Finding the Fourth Proportional to 358.56, 537.50 and 141.98

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Solution

The fourth proportional to 358.56, 537.50 and 141.98 is: 212.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.56 : 537.50 = 141.98 : x
  2. Step 2: Convert to fraction form
    358.56/537.50 = 141.98/x
  3. Step 3: Cross multiply
    358.56x = 537.50 × 141.98
  4. Step 4: Simplify right side
    358.56x = 76,314.25
  5. Step 5: Solve for x
    x = 76,314.25/358.56
  6. Step 6: Final answer
    x = 212.84

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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.