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Finding the Fourth Proportional to 314.47, 433.99 and 183.49

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Solution

The fourth proportional to 314.47, 433.99 and 183.49 is: 253.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.47 : 433.99 = 183.49 : x
  2. Step 2: Convert to fraction form
    314.47/433.99 = 183.49/x
  3. Step 3: Cross multiply
    314.47x = 433.99 × 183.49
  4. Step 4: Simplify right side
    314.47x = 79,632.83
  5. Step 5: Solve for x
    x = 79,632.83/314.47
  6. Step 6: Final answer
    x = 253.23

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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.