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Finding the Fourth Proportional to 259.98, 358.68 and 160.32

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Solution

The fourth proportional to 259.98, 358.68 and 160.32 is: 221.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.98 : 358.68 = 160.32 : x
  2. Step 2: Convert to fraction form
    259.98/358.68 = 160.32/x
  3. Step 3: Cross multiply
    259.98x = 358.68 × 160.32
  4. Step 4: Simplify right side
    259.98x = 57,503.58
  5. Step 5: Solve for x
    x = 57,503.58/259.98
  6. Step 6: Final answer
    x = 221.18

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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.