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Finding the Fourth Proportional to 312.88, 469.39 and 156.79

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Solution

The fourth proportional to 312.88, 469.39 and 156.79 is: 235.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.88 : 469.39 = 156.79 : x
  2. Step 2: Convert to fraction form
    312.88/469.39 = 156.79/x
  3. Step 3: Cross multiply
    312.88x = 469.39 × 156.79
  4. Step 4: Simplify right side
    312.88x = 73,592.53
  5. Step 5: Solve for x
    x = 73,592.53/312.88
  6. Step 6: Final answer
    x = 235.21

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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.