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Finding the Fourth Proportional to 270.90, 405.84 and 242.34

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Solution

The fourth proportional to 270.90, 405.84 and 242.34 is: 363.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.90 : 405.84 = 242.34 : x
  2. Step 2: Convert to fraction form
    270.90/405.84 = 242.34/x
  3. Step 3: Cross multiply
    270.90x = 405.84 × 242.34
  4. Step 4: Simplify right side
    270.90x = 98,351.27
  5. Step 5: Solve for x
    x = 98,351.27/270.90
  6. Step 6: Final answer
    x = 363.05

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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.