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Finding the Fourth Proportional to 464.30, 696.53 and 186.66

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Solution

The fourth proportional to 464.30, 696.53 and 186.66 is: 280.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.30 : 696.53 = 186.66 : x
  2. Step 2: Convert to fraction form
    464.30/696.53 = 186.66/x
  3. Step 3: Cross multiply
    464.30x = 696.53 × 186.66
  4. Step 4: Simplify right side
    464.30x = 130,013.36
  5. Step 5: Solve for x
    x = 130,013.36/464.30
  6. Step 6: Final answer
    x = 280.02

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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.