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Finding the Fourth Proportional to 280.48, 420.17 and 184

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Solution

The fourth proportional to 280.48, 420.17 and 184 is: 275.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.48 : 420.17 = 184 : x
  2. Step 2: Convert to fraction form
    280.48/420.17 = 184/x
  3. Step 3: Cross multiply
    280.48x = 420.17 × 184
  4. Step 4: Simplify right side
    280.48x = 77,311.28
  5. Step 5: Solve for x
    x = 77,311.28/280.48
  6. Step 6: Final answer
    x = 275.64

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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.