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Finding the Fourth Proportional to 280.06, 386.42 and 176.50

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Solution

The fourth proportional to 280.06, 386.42 and 176.50 is: 243.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.06 : 386.42 = 176.50 : x
  2. Step 2: Convert to fraction form
    280.06/386.42 = 176.50/x
  3. Step 3: Cross multiply
    280.06x = 386.42 × 176.50
  4. Step 4: Simplify right side
    280.06x = 68,203.13
  5. Step 5: Solve for x
    x = 68,203.13/280.06
  6. Step 6: Final answer
    x = 243.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.