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Finding the Fourth Proportional to 503.59, 755.41 and 156.96

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Solution

The fourth proportional to 503.59, 755.41 and 156.96 is: 235.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.59 : 755.41 = 156.96 : x
  2. Step 2: Convert to fraction form
    503.59/755.41 = 156.96/x
  3. Step 3: Cross multiply
    503.59x = 755.41 × 156.96
  4. Step 4: Simplify right side
    503.59x = 118,569.15
  5. Step 5: Solve for x
    x = 118,569.15/503.59
  6. Step 6: Final answer
    x = 235.45

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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.