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Finding the Fourth Proportional to 302.24, 453.06 and 180.56

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Solution

The fourth proportional to 302.24, 453.06 and 180.56 is: 270.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.24 : 453.06 = 180.56 : x
  2. Step 2: Convert to fraction form
    302.24/453.06 = 180.56/x
  3. Step 3: Cross multiply
    302.24x = 453.06 × 180.56
  4. Step 4: Simplify right side
    302.24x = 81,804.51
  5. Step 5: Solve for x
    x = 81,804.51/302.24
  6. Step 6: Final answer
    x = 270.66

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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.