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Finding the Fourth Proportional to 312.09, 468.16 and 157.94

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Solution

The fourth proportional to 312.09, 468.16 and 157.94 is: 236.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.09 : 468.16 = 157.94 : x
  2. Step 2: Convert to fraction form
    312.09/468.16 = 157.94/x
  3. Step 3: Cross multiply
    312.09x = 468.16 × 157.94
  4. Step 4: Simplify right side
    312.09x = 73,941.19
  5. Step 5: Solve for x
    x = 73,941.19/312.09
  6. Step 6: Final answer
    x = 236.92

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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.