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Finding the Fourth Proportional to 302.02, 453.07 and 96.52

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Solution

The fourth proportional to 302.02, 453.07 and 96.52 is: 144.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.02 : 453.07 = 96.52 : x
  2. Step 2: Convert to fraction form
    302.02/453.07 = 96.52/x
  3. Step 3: Cross multiply
    302.02x = 453.07 × 96.52
  4. Step 4: Simplify right side
    302.02x = 43,730.32
  5. Step 5: Solve for x
    x = 43,730.32/302.02
  6. Step 6: Final answer
    x = 144.79

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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.