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Finding the Fourth Proportional to 270.62, 405.94 and 188.10

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Solution

The fourth proportional to 270.62, 405.94 and 188.10 is: 282.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.62 : 405.94 = 188.10 : x
  2. Step 2: Convert to fraction form
    270.62/405.94 = 188.10/x
  3. Step 3: Cross multiply
    270.62x = 405.94 × 188.10
  4. Step 4: Simplify right side
    270.62x = 76,357.31
  5. Step 5: Solve for x
    x = 76,357.31/270.62
  6. Step 6: Final answer
    x = 282.16

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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.