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Finding the Fourth Proportional to 287.49, 429.48 and 183.95

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Solution

The fourth proportional to 287.49, 429.48 and 183.95 is: 274.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.49 : 429.48 = 183.95 : x
  2. Step 2: Convert to fraction form
    287.49/429.48 = 183.95/x
  3. Step 3: Cross multiply
    287.49x = 429.48 × 183.95
  4. Step 4: Simplify right side
    287.49x = 79,002.85
  5. Step 5: Solve for x
    x = 79,002.85/287.49
  6. Step 6: Final answer
    x = 274.80

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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.