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Finding the Fourth Proportional to 265.02, 365.64 and 160.08

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Solution

The fourth proportional to 265.02, 365.64 and 160.08 is: 220.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.02 : 365.64 = 160.08 : x
  2. Step 2: Convert to fraction form
    265.02/365.64 = 160.08/x
  3. Step 3: Cross multiply
    265.02x = 365.64 × 160.08
  4. Step 4: Simplify right side
    265.02x = 58,531.65
  5. Step 5: Solve for x
    x = 58,531.65/265.02
  6. Step 6: Final answer
    x = 220.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.