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Finding the Fourth Proportional to 357.45, 536.22 and 97.47

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Solution

The fourth proportional to 357.45, 536.22 and 97.47 is: 146.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.45 : 536.22 = 97.47 : x
  2. Step 2: Convert to fraction form
    357.45/536.22 = 97.47/x
  3. Step 3: Cross multiply
    357.45x = 536.22 × 97.47
  4. Step 4: Simplify right side
    357.45x = 52,265.00
  5. Step 5: Solve for x
    x = 52,265.00/357.45
  6. Step 6: Final answer
    x = 146.21

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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.