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Finding the Fourth Proportional to 303.76, 457.02 and 182.12

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Solution

The fourth proportional to 303.76, 457.02 and 182.12 is: 274.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.76 : 457.02 = 182.12 : x
  2. Step 2: Convert to fraction form
    303.76/457.02 = 182.12/x
  3. Step 3: Cross multiply
    303.76x = 457.02 × 182.12
  4. Step 4: Simplify right side
    303.76x = 83,232.48
  5. Step 5: Solve for x
    x = 83,232.48/303.76
  6. Step 6: Final answer
    x = 274.01

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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.