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Finding the Fourth Proportional to 201.45, 302.16 and 79.68

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Solution

The fourth proportional to 201.45, 302.16 and 79.68 is: 119.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.45 : 302.16 = 79.68 : x
  2. Step 2: Convert to fraction form
    201.45/302.16 = 79.68/x
  3. Step 3: Cross multiply
    201.45x = 302.16 × 79.68
  4. Step 4: Simplify right side
    201.45x = 24,075.71
  5. Step 5: Solve for x
    x = 24,075.71/201.45
  6. Step 6: Final answer
    x = 119.51

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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.