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Finding the Fourth Proportional to 359.15, 537.80 and 237.04

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Solution

The fourth proportional to 359.15, 537.80 and 237.04 is: 354.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.15 : 537.80 = 237.04 : x
  2. Step 2: Convert to fraction form
    359.15/537.80 = 237.04/x
  3. Step 3: Cross multiply
    359.15x = 537.80 × 237.04
  4. Step 4: Simplify right side
    359.15x = 127,480.11
  5. Step 5: Solve for x
    x = 127,480.11/359.15
  6. Step 6: Final answer
    x = 354.95

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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.