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Finding the Fourth Proportional to 365.04, 547.68 and 148.80

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Solution

The fourth proportional to 365.04, 547.68 and 148.80 is: 223.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.04 : 547.68 = 148.80 : x
  2. Step 2: Convert to fraction form
    365.04/547.68 = 148.80/x
  3. Step 3: Cross multiply
    365.04x = 547.68 × 148.80
  4. Step 4: Simplify right side
    365.04x = 81,494.78
  5. Step 5: Solve for x
    x = 81,494.78/365.04
  6. Step 6: Final answer
    x = 223.25

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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.