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Finding the Fourth Proportional to 464.49, 696.62 and 135.34

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Solution

The fourth proportional to 464.49, 696.62 and 135.34 is: 202.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.49 : 696.62 = 135.34 : x
  2. Step 2: Convert to fraction form
    464.49/696.62 = 135.34/x
  3. Step 3: Cross multiply
    464.49x = 696.62 × 135.34
  4. Step 4: Simplify right side
    464.49x = 94,279.15
  5. Step 5: Solve for x
    x = 94,279.15/464.49
  6. Step 6: Final answer
    x = 202.97

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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.