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Finding the Fourth Proportional to 357.24, 536.66 and 235.74

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Solution

The fourth proportional to 357.24, 536.66 and 235.74 is: 354.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.24 : 536.66 = 235.74 : x
  2. Step 2: Convert to fraction form
    357.24/536.66 = 235.74/x
  3. Step 3: Cross multiply
    357.24x = 536.66 × 235.74
  4. Step 4: Simplify right side
    357.24x = 126,512.23
  5. Step 5: Solve for x
    x = 126,512.23/357.24
  6. Step 6: Final answer
    x = 354.14

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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.