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Finding the Fourth Proportional to 504.26, 756.53 and 157.61

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Solution

The fourth proportional to 504.26, 756.53 and 157.61 is: 236.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.26 : 756.53 = 157.61 : x
  2. Step 2: Convert to fraction form
    504.26/756.53 = 157.61/x
  3. Step 3: Cross multiply
    504.26x = 756.53 × 157.61
  4. Step 4: Simplify right side
    504.26x = 119,234.97
  5. Step 5: Solve for x
    x = 119,234.97/504.26
  6. Step 6: Final answer
    x = 236.45

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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.