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Finding the Fourth Proportional to 365.85, 549.01 and 160.48

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Solution

The fourth proportional to 365.85, 549.01 and 160.48 is: 240.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.85 : 549.01 = 160.48 : x
  2. Step 2: Convert to fraction form
    365.85/549.01 = 160.48/x
  3. Step 3: Cross multiply
    365.85x = 549.01 × 160.48
  4. Step 4: Simplify right side
    365.85x = 88,106.01
  5. Step 5: Solve for x
    x = 88,106.01/365.85
  6. Step 6: Final answer
    x = 240.83

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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.