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Finding the Fourth Proportional to 310.62, 466.01 and 156.36

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Solution

The fourth proportional to 310.62, 466.01 and 156.36 is: 234.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.62 : 466.01 = 156.36 : x
  2. Step 2: Convert to fraction form
    310.62/466.01 = 156.36/x
  3. Step 3: Cross multiply
    310.62x = 466.01 × 156.36
  4. Step 4: Simplify right side
    310.62x = 72,865.32
  5. Step 5: Solve for x
    x = 72,865.32/310.62
  6. Step 6: Final answer
    x = 234.58

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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.