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Finding the Fourth Proportional to 365.29, 547.95 and 121.84

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Solution

The fourth proportional to 365.29, 547.95 and 121.84 is: 182.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.29 : 547.95 = 121.84 : x
  2. Step 2: Convert to fraction form
    365.29/547.95 = 121.84/x
  3. Step 3: Cross multiply
    365.29x = 547.95 × 121.84
  4. Step 4: Simplify right side
    365.29x = 66,762.23
  5. Step 5: Solve for x
    x = 66,762.23/365.29
  6. Step 6: Final answer
    x = 182.77

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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.