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Finding the Fourth Proportional to 307.88, 424.86 and 183.53

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Solution

The fourth proportional to 307.88, 424.86 and 183.53 is: 253.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.88 : 424.86 = 183.53 : x
  2. Step 2: Convert to fraction form
    307.88/424.86 = 183.53/x
  3. Step 3: Cross multiply
    307.88x = 424.86 × 183.53
  4. Step 4: Simplify right side
    307.88x = 77,974.56
  5. Step 5: Solve for x
    x = 77,974.56/307.88
  6. Step 6: Final answer
    x = 253.26

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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.