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Finding the Fourth Proportional to 503.70, 755.70 and 157.02

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Solution

The fourth proportional to 503.70, 755.70 and 157.02 is: 235.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.70 : 755.70 = 157.02 : x
  2. Step 2: Convert to fraction form
    503.70/755.70 = 157.02/x
  3. Step 3: Cross multiply
    503.70x = 755.70 × 157.02
  4. Step 4: Simplify right side
    503.70x = 118,660.01
  5. Step 5: Solve for x
    x = 118,660.01/503.70
  6. Step 6: Final answer
    x = 235.58

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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.