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Finding the Fourth Proportional to 369.13, 553.20 and 186.66

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Solution

The fourth proportional to 369.13, 553.20 and 186.66 is: 279.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.13 : 553.20 = 186.66 : x
  2. Step 2: Convert to fraction form
    369.13/553.20 = 186.66/x
  3. Step 3: Cross multiply
    369.13x = 553.20 × 186.66
  4. Step 4: Simplify right side
    369.13x = 103,260.31
  5. Step 5: Solve for x
    x = 103,260.31/369.13
  6. Step 6: Final answer
    x = 279.74

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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.