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Finding the Fourth Proportional to 359.58, 496.14 and 210.15

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Solution

The fourth proportional to 359.58, 496.14 and 210.15 is: 289.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.58 : 496.14 = 210.15 : x
  2. Step 2: Convert to fraction form
    359.58/496.14 = 210.15/x
  3. Step 3: Cross multiply
    359.58x = 496.14 × 210.15
  4. Step 4: Simplify right side
    359.58x = 104,263.82
  5. Step 5: Solve for x
    x = 104,263.82/359.58
  6. Step 6: Final answer
    x = 289.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.