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Finding the Fourth Proportional to 260.64, 390.95 and 78.06

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Solution

The fourth proportional to 260.64, 390.95 and 78.06 is: 117.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.64 : 390.95 = 78.06 : x
  2. Step 2: Convert to fraction form
    260.64/390.95 = 78.06/x
  3. Step 3: Cross multiply
    260.64x = 390.95 × 78.06
  4. Step 4: Simplify right side
    260.64x = 30,517.17
  5. Step 5: Solve for x
    x = 30,517.17/260.64
  6. Step 6: Final answer
    x = 117.09

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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.