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Finding the Fourth Proportional to 260.68, 360.02 and 178.01

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Solution

The fourth proportional to 260.68, 360.02 and 178.01 is: 245.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.68 : 360.02 = 178.01 : x
  2. Step 2: Convert to fraction form
    260.68/360.02 = 178.01/x
  3. Step 3: Cross multiply
    260.68x = 360.02 × 178.01
  4. Step 4: Simplify right side
    260.68x = 64,084.47
  5. Step 5: Solve for x
    x = 64,084.47/260.68
  6. Step 6: Final answer
    x = 245.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.