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Finding the Fourth Proportional to 388.15, 581.91 and 182.80

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Solution

The fourth proportional to 388.15, 581.91 and 182.80 is: 274.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.15 : 581.91 = 182.80 : x
  2. Step 2: Convert to fraction form
    388.15/581.91 = 182.80/x
  3. Step 3: Cross multiply
    388.15x = 581.91 × 182.80
  4. Step 4: Simplify right side
    388.15x = 106,373.15
  5. Step 5: Solve for x
    x = 106,373.15/388.15
  6. Step 6: Final answer
    x = 274.05

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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.