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Finding the Fourth Proportional to 504.09, 756.16 and 157.46

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Solution

The fourth proportional to 504.09, 756.16 and 157.46 is: 236.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.09 : 756.16 = 157.46 : x
  2. Step 2: Convert to fraction form
    504.09/756.16 = 157.46/x
  3. Step 3: Cross multiply
    504.09x = 756.16 × 157.46
  4. Step 4: Simplify right side
    504.09x = 119,064.95
  5. Step 5: Solve for x
    x = 119,064.95/504.09
  6. Step 6: Final answer
    x = 236.20

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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.