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Finding the Fourth Proportional to 464, 696.32 and 160

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Solution

The fourth proportional to 464, 696.32 and 160 is: 240.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    464 : 696.32 = 160 : x
  2. Step 2: Convert to fraction form
    464/696.32 = 160/x
  3. Step 3: Cross multiply
    464x = 696.32 × 160
  4. Step 4: Simplify right side
    464x = 111,411.20
  5. Step 5: Solve for x
    x = 111,411.20/464
  6. Step 6: Final answer
    x = 240.11

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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.