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Finding the Fourth Proportional to 286.51, 429.77 and 183.84

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Solution

The fourth proportional to 286.51, 429.77 and 183.84 is: 275.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.51 : 429.77 = 183.84 : x
  2. Step 2: Convert to fraction form
    286.51/429.77 = 183.84/x
  3. Step 3: Cross multiply
    286.51x = 429.77 × 183.84
  4. Step 4: Simplify right side
    286.51x = 79,008.92
  5. Step 5: Solve for x
    x = 79,008.92/286.51
  6. Step 6: Final answer
    x = 275.76

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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.