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Finding the Fourth Proportional to 365.40, 548.33 and 189.72

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Solution

The fourth proportional to 365.40, 548.33 and 189.72 is: 284.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.40 : 548.33 = 189.72 : x
  2. Step 2: Convert to fraction form
    365.40/548.33 = 189.72/x
  3. Step 3: Cross multiply
    365.40x = 548.33 × 189.72
  4. Step 4: Simplify right side
    365.40x = 104,029.17
  5. Step 5: Solve for x
    x = 104,029.17/365.40
  6. Step 6: Final answer
    x = 284.70

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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.