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Finding the Fourth Proportional to 357.60, 536.54 and 141.33

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Solution

The fourth proportional to 357.60, 536.54 and 141.33 is: 212.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.60 : 536.54 = 141.33 : x
  2. Step 2: Convert to fraction form
    357.60/536.54 = 141.33/x
  3. Step 3: Cross multiply
    357.60x = 536.54 × 141.33
  4. Step 4: Simplify right side
    357.60x = 75,829.20
  5. Step 5: Solve for x
    x = 75,829.20/357.60
  6. Step 6: Final answer
    x = 212.05

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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.