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Finding the Fourth Proportional to 270.90, 405.75 and 202.50

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Solution

The fourth proportional to 270.90, 405.75 and 202.50 is: 303.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.90 : 405.75 = 202.50 : x
  2. Step 2: Convert to fraction form
    270.90/405.75 = 202.50/x
  3. Step 3: Cross multiply
    270.90x = 405.75 × 202.50
  4. Step 4: Simplify right side
    270.90x = 82,164.38
  5. Step 5: Solve for x
    x = 82,164.38/270.90
  6. Step 6: Final answer
    x = 303.30

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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.