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Finding the Fourth Proportional to 350.35, 525.77 and 133.93

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Solution

The fourth proportional to 350.35, 525.77 and 133.93 is: 200.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.35 : 525.77 = 133.93 : x
  2. Step 2: Convert to fraction form
    350.35/525.77 = 133.93/x
  3. Step 3: Cross multiply
    350.35x = 525.77 × 133.93
  4. Step 4: Simplify right side
    350.35x = 70,415.40
  5. Step 5: Solve for x
    x = 70,415.40/350.35
  6. Step 6: Final answer
    x = 200.99

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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.