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Finding the Fourth Proportional to 359.08, 537.26 and 212.91

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Solution

The fourth proportional to 359.08, 537.26 and 212.91 is: 318.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.08 : 537.26 = 212.91 : x
  2. Step 2: Convert to fraction form
    359.08/537.26 = 212.91/x
  3. Step 3: Cross multiply
    359.08x = 537.26 × 212.91
  4. Step 4: Simplify right side
    359.08x = 114,386.42
  5. Step 5: Solve for x
    x = 114,386.42/359.08
  6. Step 6: Final answer
    x = 318.56

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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.