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Finding the Fourth Proportional to 307.81, 424.77 and 183.47

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Solution

The fourth proportional to 307.81, 424.77 and 183.47 is: 253.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.81 : 424.77 = 183.47 : x
  2. Step 2: Convert to fraction form
    307.81/424.77 = 183.47/x
  3. Step 3: Cross multiply
    307.81x = 424.77 × 183.47
  4. Step 4: Simplify right side
    307.81x = 77,932.71
  5. Step 5: Solve for x
    x = 77,932.71/307.81
  6. Step 6: Final answer
    x = 253.19

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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.