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Finding the Fourth Proportional to 357.30, 536.10 and 266.78

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Solution

The fourth proportional to 357.30, 536.10 and 266.78 is: 400.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.30 : 536.10 = 266.78 : x
  2. Step 2: Convert to fraction form
    357.30/536.10 = 266.78/x
  3. Step 3: Cross multiply
    357.30x = 536.10 × 266.78
  4. Step 4: Simplify right side
    357.30x = 143,020.76
  5. Step 5: Solve for x
    x = 143,020.76/357.30
  6. Step 6: Final answer
    x = 400.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.