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Finding the Fourth Proportional to 280.30, 420.23 and 177.37

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Solution

The fourth proportional to 280.30, 420.23 and 177.37 is: 265.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.30 : 420.23 = 177.37 : x
  2. Step 2: Convert to fraction form
    280.30/420.23 = 177.37/x
  3. Step 3: Cross multiply
    280.30x = 420.23 × 177.37
  4. Step 4: Simplify right side
    280.30x = 74,533.21
  5. Step 5: Solve for x
    x = 74,533.21/280.30
  6. Step 6: Final answer
    x = 265.91

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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.