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Finding the Fourth Proportional to 280.98, 421.48 and 136.26

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Solution

The fourth proportional to 280.98, 421.48 and 136.26 is: 204.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.98 : 421.48 = 136.26 : x
  2. Step 2: Convert to fraction form
    280.98/421.48 = 136.26/x
  3. Step 3: Cross multiply
    280.98x = 421.48 × 136.26
  4. Step 4: Simplify right side
    280.98x = 57,430.86
  5. Step 5: Solve for x
    x = 57,430.86/280.98
  6. Step 6: Final answer
    x = 204.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.