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Finding the Fourth Proportional to 270.65, 405.35 and 162.20

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Solution

The fourth proportional to 270.65, 405.35 and 162.20 is: 242.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.65 : 405.35 = 162.20 : x
  2. Step 2: Convert to fraction form
    270.65/405.35 = 162.20/x
  3. Step 3: Cross multiply
    270.65x = 405.35 × 162.20
  4. Step 4: Simplify right side
    270.65x = 65,744.93
  5. Step 5: Solve for x
    x = 65,744.93/270.65
  6. Step 6: Final answer
    x = 242.92

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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.