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Finding the Fourth Proportional to 541.94, 812.90 and 157.18

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Solution

The fourth proportional to 541.94, 812.90 and 157.18 is: 235.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.94 : 812.90 = 157.18 : x
  2. Step 2: Convert to fraction form
    541.94/812.90 = 157.18/x
  3. Step 3: Cross multiply
    541.94x = 812.90 × 157.18
  4. Step 4: Simplify right side
    541.94x = 127,771.62
  5. Step 5: Solve for x
    x = 127,771.62/541.94
  6. Step 6: Final answer
    x = 235.77

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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.