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Finding the Fourth Proportional to 302.51, 453.36 and 180.81

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Solution

The fourth proportional to 302.51, 453.36 and 180.81 is: 270.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.51 : 453.36 = 180.81 : x
  2. Step 2: Convert to fraction form
    302.51/453.36 = 180.81/x
  3. Step 3: Cross multiply
    302.51x = 453.36 × 180.81
  4. Step 4: Simplify right side
    302.51x = 81,972.02
  5. Step 5: Solve for x
    x = 81,972.02/302.51
  6. Step 6: Final answer
    x = 270.97

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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.