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Finding the Fourth Proportional to 302.40, 453.38 and 135.56

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Solution

The fourth proportional to 302.40, 453.38 and 135.56 is: 203.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.40 : 453.38 = 135.56 : x
  2. Step 2: Convert to fraction form
    302.40/453.38 = 135.56/x
  3. Step 3: Cross multiply
    302.40x = 453.38 × 135.56
  4. Step 4: Simplify right side
    302.40x = 61,458.86
  5. Step 5: Solve for x
    x = 61,458.86/302.40
  6. Step 6: Final answer
    x = 203.24

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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.