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Finding the Fourth Proportional to 464.83, 697.16 and 135.70

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Solution

The fourth proportional to 464.83, 697.16 and 135.70 is: 203.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.83 : 697.16 = 135.70 : x
  2. Step 2: Convert to fraction form
    464.83/697.16 = 135.70/x
  3. Step 3: Cross multiply
    464.83x = 697.16 × 135.70
  4. Step 4: Simplify right side
    464.83x = 94,604.61
  5. Step 5: Solve for x
    x = 94,604.61/464.83
  6. Step 6: Final answer
    x = 203.53

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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.