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Finding the Fourth Proportional to 245.47, 366.83 and 183.91

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Solution

The fourth proportional to 245.47, 366.83 and 183.91 is: 274.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.47 : 366.83 = 183.91 : x
  2. Step 2: Convert to fraction form
    245.47/366.83 = 183.91/x
  3. Step 3: Cross multiply
    245.47x = 366.83 × 183.91
  4. Step 4: Simplify right side
    245.47x = 67,463.71
  5. Step 5: Solve for x
    x = 67,463.71/245.47
  6. Step 6: Final answer
    x = 274.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.