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Finding the Fourth Proportional to 305.23, 457.14 and 183.22

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Solution

The fourth proportional to 305.23, 457.14 and 183.22 is: 274.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.23 : 457.14 = 183.22 : x
  2. Step 2: Convert to fraction form
    305.23/457.14 = 183.22/x
  3. Step 3: Cross multiply
    305.23x = 457.14 × 183.22
  4. Step 4: Simplify right side
    305.23x = 83,756.05
  5. Step 5: Solve for x
    x = 83,756.05/305.23
  6. Step 6: Final answer
    x = 274.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.