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Finding the Fourth Proportional to 302.70, 453.96 and 110.32

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Solution

The fourth proportional to 302.70, 453.96 and 110.32 is: 165.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.70 : 453.96 = 110.32 : x
  2. Step 2: Convert to fraction form
    302.70/453.96 = 110.32/x
  3. Step 3: Cross multiply
    302.70x = 453.96 × 110.32
  4. Step 4: Simplify right side
    302.70x = 50,080.87
  5. Step 5: Solve for x
    x = 50,080.87/302.70
  6. Step 6: Final answer
    x = 165.45

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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.