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Finding the Fourth Proportional to 466.32, 699.34 and 141.64

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Solution

The fourth proportional to 466.32, 699.34 and 141.64 is: 212.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.32 : 699.34 = 141.64 : x
  2. Step 2: Convert to fraction form
    466.32/699.34 = 141.64/x
  3. Step 3: Cross multiply
    466.32x = 699.34 × 141.64
  4. Step 4: Simplify right side
    466.32x = 99,054.52
  5. Step 5: Solve for x
    x = 99,054.52/466.32
  6. Step 6: Final answer
    x = 212.42

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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.