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Finding the Fourth Proportional to 307.95, 424.97 and 183.66

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Solution

The fourth proportional to 307.95, 424.97 and 183.66 is: 253.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.95 : 424.97 = 183.66 : x
  2. Step 2: Convert to fraction form
    307.95/424.97 = 183.66/x
  3. Step 3: Cross multiply
    307.95x = 424.97 × 183.66
  4. Step 4: Simplify right side
    307.95x = 78,050.56
  5. Step 5: Solve for x
    x = 78,050.56/307.95
  6. Step 6: Final answer
    x = 253.46

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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.