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Finding the Fourth Proportional to 152.86, 227.93 and 141.04

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Solution

The fourth proportional to 152.86, 227.93 and 141.04 is: 210.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.86 : 227.93 = 141.04 : x
  2. Step 2: Convert to fraction form
    152.86/227.93 = 141.04/x
  3. Step 3: Cross multiply
    152.86x = 227.93 × 141.04
  4. Step 4: Simplify right side
    152.86x = 32,147.25
  5. Step 5: Solve for x
    x = 32,147.25/152.86
  6. Step 6: Final answer
    x = 210.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.