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Finding the Fourth Proportional to 541.53, 812.42 and 156.75

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Solution

The fourth proportional to 541.53, 812.42 and 156.75 is: 235.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.53 : 812.42 = 156.75 : x
  2. Step 2: Convert to fraction form
    541.53/812.42 = 156.75/x
  3. Step 3: Cross multiply
    541.53x = 812.42 × 156.75
  4. Step 4: Simplify right side
    541.53x = 127,346.84
  5. Step 5: Solve for x
    x = 127,346.84/541.53
  6. Step 6: Final answer
    x = 235.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.