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Finding the Fourth Proportional to 357.59, 536.38 and 97.63

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Solution

The fourth proportional to 357.59, 536.38 and 97.63 is: 146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.59 : 536.38 = 97.63 : x
  2. Step 2: Convert to fraction form
    357.59/536.38 = 97.63/x
  3. Step 3: Cross multiply
    357.59x = 536.38 × 97.63
  4. Step 4: Simplify right side
    357.59x = 52,364.30
  5. Step 5: Solve for x
    x = 52,364.30/357.59
  6. Step 6: Final answer
    x = 146.44

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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.