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Finding the Fourth Proportional to 312.89, 469.63 and 158.93

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Solution

The fourth proportional to 312.89, 469.63 and 158.93 is: 238.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.89 : 469.63 = 158.93 : x
  2. Step 2: Convert to fraction form
    312.89/469.63 = 158.93/x
  3. Step 3: Cross multiply
    312.89x = 469.63 × 158.93
  4. Step 4: Simplify right side
    312.89x = 74,638.30
  5. Step 5: Solve for x
    x = 74,638.30/312.89
  6. Step 6: Final answer
    x = 238.54

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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.