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Finding the Fourth Proportional to 280.68, 420.12 and 178.06

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Solution

The fourth proportional to 280.68, 420.12 and 178.06 is: 266.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.68 : 420.12 = 178.06 : x
  2. Step 2: Convert to fraction form
    280.68/420.12 = 178.06/x
  3. Step 3: Cross multiply
    280.68x = 420.12 × 178.06
  4. Step 4: Simplify right side
    280.68x = 74,806.57
  5. Step 5: Solve for x
    x = 74,806.57/280.68
  6. Step 6: Final answer
    x = 266.52

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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.