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Finding the Fourth Proportional to 357.54, 536.51 and 266.01

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Solution

The fourth proportional to 357.54, 536.51 and 266.01 is: 399.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.54 : 536.51 = 266.01 : x
  2. Step 2: Convert to fraction form
    357.54/536.51 = 266.01/x
  3. Step 3: Cross multiply
    357.54x = 536.51 × 266.01
  4. Step 4: Simplify right side
    357.54x = 142,717.03
  5. Step 5: Solve for x
    x = 142,717.03/357.54
  6. Step 6: Final answer
    x = 399.16

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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.