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Finding the Fourth Proportional to 359.04, 538.83 and 142.63

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Solution

The fourth proportional to 359.04, 538.83 and 142.63 is: 214.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.04 : 538.83 = 142.63 : x
  2. Step 2: Convert to fraction form
    359.04/538.83 = 142.63/x
  3. Step 3: Cross multiply
    359.04x = 538.83 × 142.63
  4. Step 4: Simplify right side
    359.04x = 76,852.61
  5. Step 5: Solve for x
    x = 76,852.61/359.04
  6. Step 6: Final answer
    x = 214.05

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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.