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Finding the Fourth Proportional to 260.10, 359.58 and 257.64

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Solution

The fourth proportional to 260.10, 359.58 and 257.64 is: 356.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.10 : 359.58 = 257.64 : x
  2. Step 2: Convert to fraction form
    260.10/359.58 = 257.64/x
  3. Step 3: Cross multiply
    260.10x = 359.58 × 257.64
  4. Step 4: Simplify right side
    260.10x = 92,642.19
  5. Step 5: Solve for x
    x = 92,642.19/260.10
  6. Step 6: Final answer
    x = 356.18

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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.