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Finding the Fourth Proportional to 310.64, 465.82 and 102.34

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Solution

The fourth proportional to 310.64, 465.82 and 102.34 is: 153.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.64 : 465.82 = 102.34 : x
  2. Step 2: Convert to fraction form
    310.64/465.82 = 102.34/x
  3. Step 3: Cross multiply
    310.64x = 465.82 × 102.34
  4. Step 4: Simplify right side
    310.64x = 47,672.02
  5. Step 5: Solve for x
    x = 47,672.02/310.64
  6. Step 6: Final answer
    x = 153.46

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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.