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Finding the Fourth Proportional to 357.93, 536.51 and 193.22

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Solution

The fourth proportional to 357.93, 536.51 and 193.22 is: 289.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.93 : 536.51 = 193.22 : x
  2. Step 2: Convert to fraction form
    357.93/536.51 = 193.22/x
  3. Step 3: Cross multiply
    357.93x = 536.51 × 193.22
  4. Step 4: Simplify right side
    357.93x = 103,664.46
  5. Step 5: Solve for x
    x = 103,664.46/357.93
  6. Step 6: Final answer
    x = 289.62

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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.