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Finding the Fourth Proportional to 260.05, 358.83 and 155.18

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Solution

The fourth proportional to 260.05, 358.83 and 155.18 is: 214.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.05 : 358.83 = 155.18 : x
  2. Step 2: Convert to fraction form
    260.05/358.83 = 155.18/x
  3. Step 3: Cross multiply
    260.05x = 358.83 × 155.18
  4. Step 4: Simplify right side
    260.05x = 55,683.24
  5. Step 5: Solve for x
    x = 55,683.24/260.05
  6. Step 6: Final answer
    x = 214.13

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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.