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Finding the Fourth Proportional to 358.11, 537.38 and 152.67

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Solution

The fourth proportional to 358.11, 537.38 and 152.67 is: 229.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.11 : 537.38 = 152.67 : x
  2. Step 2: Convert to fraction form
    358.11/537.38 = 152.67/x
  3. Step 3: Cross multiply
    358.11x = 537.38 × 152.67
  4. Step 4: Simplify right side
    358.11x = 82,041.04
  5. Step 5: Solve for x
    x = 82,041.04/358.11
  6. Step 6: Final answer
    x = 229.09

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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.