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Finding the Fourth Proportional to 357.72, 536.54 and 193.12

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Solution

The fourth proportional to 357.72, 536.54 and 193.12 is: 289.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.72 : 536.54 = 193.12 : x
  2. Step 2: Convert to fraction form
    357.72/536.54 = 193.12/x
  3. Step 3: Cross multiply
    357.72x = 536.54 × 193.12
  4. Step 4: Simplify right side
    357.72x = 103,616.60
  5. Step 5: Solve for x
    x = 103,616.60/357.72
  6. Step 6: Final answer
    x = 289.66

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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.