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Finding the Fourth Proportional to 402, 602.82 and 128.01

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Solution

The fourth proportional to 402, 602.82 and 128.01 is: 191.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    402 : 602.82 = 128.01 : x
  2. Step 2: Convert to fraction form
    402/602.82 = 128.01/x
  3. Step 3: Cross multiply
    402x = 602.82 × 128.01
  4. Step 4: Simplify right side
    402x = 77,166.99
  5. Step 5: Solve for x
    x = 77,166.99/402
  6. Step 6: Final answer
    x = 191.96

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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.