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Finding the Fourth Proportional to 270.51, 405.14 and 178.98

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Solution

The fourth proportional to 270.51, 405.14 and 178.98 is: 268.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.51 : 405.14 = 178.98 : x
  2. Step 2: Convert to fraction form
    270.51/405.14 = 178.98/x
  3. Step 3: Cross multiply
    270.51x = 405.14 × 178.98
  4. Step 4: Simplify right side
    270.51x = 72,511.06
  5. Step 5: Solve for x
    x = 72,511.06/270.51
  6. Step 6: Final answer
    x = 268.05

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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.