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Finding the Fourth Proportional to 357.45, 536.14 and 97.44

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Solution

The fourth proportional to 357.45, 536.14 and 97.44 is: 146.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.45 : 536.14 = 97.44 : x
  2. Step 2: Convert to fraction form
    357.45/536.14 = 97.44/x
  3. Step 3: Cross multiply
    357.45x = 536.14 × 97.44
  4. Step 4: Simplify right side
    357.45x = 52,241.24
  5. Step 5: Solve for x
    x = 52,241.24/357.45
  6. Step 6: Final answer
    x = 146.15

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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.