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Finding the Fourth Proportional to 365.40, 547.68 and 160.14

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Solution

The fourth proportional to 365.40, 547.68 and 160.14 is: 240.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.40 : 547.68 = 160.14 : x
  2. Step 2: Convert to fraction form
    365.40/547.68 = 160.14/x
  3. Step 3: Cross multiply
    365.40x = 547.68 × 160.14
  4. Step 4: Simplify right side
    365.40x = 87,705.48
  5. Step 5: Solve for x
    x = 87,705.48/365.40
  6. Step 6: Final answer
    x = 240.03

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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.