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Finding the Fourth Proportional to 357.75, 536.54 and 175.11

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Solution

The fourth proportional to 357.75, 536.54 and 175.11 is: 262.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.75 : 536.54 = 175.11 : x
  2. Step 2: Convert to fraction form
    357.75/536.54 = 175.11/x
  3. Step 3: Cross multiply
    357.75x = 536.54 × 175.11
  4. Step 4: Simplify right side
    357.75x = 93,954.63
  5. Step 5: Solve for x
    x = 93,954.63/357.75
  6. Step 6: Final answer
    x = 262.63

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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.