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Finding the Fourth Proportional to 280.51, 420.50 and 177.74

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Solution

The fourth proportional to 280.51, 420.50 and 177.74 is: 266.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.51 : 420.50 = 177.74 : x
  2. Step 2: Convert to fraction form
    280.51/420.50 = 177.74/x
  3. Step 3: Cross multiply
    280.51x = 420.50 × 177.74
  4. Step 4: Simplify right side
    280.51x = 74,738.01
  5. Step 5: Solve for x
    x = 74,738.01/280.51
  6. Step 6: Final answer
    x = 266.44

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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.