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Finding the Fourth Proportional to 504.17, 756.19 and 157.43

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Solution

The fourth proportional to 504.17, 756.19 and 157.43 is: 236.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.17 : 756.19 = 157.43 : x
  2. Step 2: Convert to fraction form
    504.17/756.19 = 157.43/x
  3. Step 3: Cross multiply
    504.17x = 756.19 × 157.43
  4. Step 4: Simplify right side
    504.17x = 119,042.82
  5. Step 5: Solve for x
    x = 119,042.82/504.17
  6. Step 6: Final answer
    x = 236.12

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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.