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Finding the Fourth Proportional to 365.03, 547.58 and 159.49

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Solution

The fourth proportional to 365.03, 547.58 and 159.49 is: 239.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.03 : 547.58 = 159.49 : x
  2. Step 2: Convert to fraction form
    365.03/547.58 = 159.49/x
  3. Step 3: Cross multiply
    365.03x = 547.58 × 159.49
  4. Step 4: Simplify right side
    365.03x = 87,333.53
  5. Step 5: Solve for x
    x = 87,333.53/365.03
  6. Step 6: Final answer
    x = 239.25

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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.