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Finding the Fourth Proportional to 464.10, 695.55 and 189.87

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Solution

The fourth proportional to 464.10, 695.55 and 189.87 is: 284.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.10 : 695.55 = 189.87 : x
  2. Step 2: Convert to fraction form
    464.10/695.55 = 189.87/x
  3. Step 3: Cross multiply
    464.10x = 695.55 × 189.87
  4. Step 4: Simplify right side
    464.10x = 132,060.60
  5. Step 5: Solve for x
    x = 132,060.60/464.10
  6. Step 6: Final answer
    x = 284.55

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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.