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Finding the Fourth Proportional to 280.76, 420.76 and 159.08

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Solution

The fourth proportional to 280.76, 420.76 and 159.08 is: 238.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.76 : 420.76 = 159.08 : x
  2. Step 2: Convert to fraction form
    280.76/420.76 = 159.08/x
  3. Step 3: Cross multiply
    280.76x = 420.76 × 159.08
  4. Step 4: Simplify right side
    280.76x = 66,934.50
  5. Step 5: Solve for x
    x = 66,934.50/280.76
  6. Step 6: Final answer
    x = 238.40

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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.