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Finding the Fourth Proportional to 307.78, 424.54 and 183.35

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Solution

The fourth proportional to 307.78, 424.54 and 183.35 is: 252.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.78 : 424.54 = 183.35 : x
  2. Step 2: Convert to fraction form
    307.78/424.54 = 183.35/x
  3. Step 3: Cross multiply
    307.78x = 424.54 × 183.35
  4. Step 4: Simplify right side
    307.78x = 77,838.49
  5. Step 5: Solve for x
    x = 77,838.49/307.78
  6. Step 6: Final answer
    x = 252.91

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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.