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Finding the Fourth Proportional to 464.42, 696.64 and 156.28

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Solution

The fourth proportional to 464.42, 696.64 and 156.28 is: 234.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.42 : 696.64 = 156.28 : x
  2. Step 2: Convert to fraction form
    464.42/696.64 = 156.28/x
  3. Step 3: Cross multiply
    464.42x = 696.64 × 156.28
  4. Step 4: Simplify right side
    464.42x = 108,870.90
  5. Step 5: Solve for x
    x = 108,870.90/464.42
  6. Step 6: Final answer
    x = 234.42

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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.