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Finding the Fourth Proportional to 270.54, 405.82 and 78.16

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Solution

The fourth proportional to 270.54, 405.82 and 78.16 is: 117.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.54 : 405.82 = 78.16 : x
  2. Step 2: Convert to fraction form
    270.54/405.82 = 78.16/x
  3. Step 3: Cross multiply
    270.54x = 405.82 × 78.16
  4. Step 4: Simplify right side
    270.54x = 31,718.89
  5. Step 5: Solve for x
    x = 31,718.89/270.54
  6. Step 6: Final answer
    x = 117.24

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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.