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Finding the Fourth Proportional to 301.93, 452.88 and 96.50

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Solution

The fourth proportional to 301.93, 452.88 and 96.50 is: 144.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.93 : 452.88 = 96.50 : x
  2. Step 2: Convert to fraction form
    301.93/452.88 = 96.50/x
  3. Step 3: Cross multiply
    301.93x = 452.88 × 96.50
  4. Step 4: Simplify right side
    301.93x = 43,700.66
  5. Step 5: Solve for x
    x = 43,700.66/301.93
  6. Step 6: Final answer
    x = 144.74

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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.