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Finding the Fourth Proportional to 366.13, 504.98 and 218.74

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Solution

The fourth proportional to 366.13, 504.98 and 218.74 is: 301.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.13 : 504.98 = 218.74 : x
  2. Step 2: Convert to fraction form
    366.13/504.98 = 218.74/x
  3. Step 3: Cross multiply
    366.13x = 504.98 × 218.74
  4. Step 4: Simplify right side
    366.13x = 110,455.71
  5. Step 5: Solve for x
    x = 110,455.71/366.13
  6. Step 6: Final answer
    x = 301.68

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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.