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Finding the Fourth Proportional to 305.29, 457.23 and 183.28

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Solution

The fourth proportional to 305.29, 457.23 and 183.28 is: 274.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.29 : 457.23 = 183.28 : x
  2. Step 2: Convert to fraction form
    305.29/457.23 = 183.28/x
  3. Step 3: Cross multiply
    305.29x = 457.23 × 183.28
  4. Step 4: Simplify right side
    305.29x = 83,801.11
  5. Step 5: Solve for x
    x = 83,801.11/305.29
  6. Step 6: Final answer
    x = 274.50

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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.