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Finding the Fourth Proportional to 365.47, 548.45 and 160.05

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Solution

The fourth proportional to 365.47, 548.45 and 160.05 is: 240.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.47 : 548.45 = 160.05 : x
  2. Step 2: Convert to fraction form
    365.47/548.45 = 160.05/x
  3. Step 3: Cross multiply
    365.47x = 548.45 × 160.05
  4. Step 4: Simplify right side
    365.47x = 87,779.42
  5. Step 5: Solve for x
    x = 87,779.42/365.47
  6. Step 6: Final answer
    x = 240.18

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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.