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Finding the Fourth Proportional to 259.16, 357.40 and 165.88

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Solution

The fourth proportional to 259.16, 357.40 and 165.88 is: 228.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.16 : 357.40 = 165.88 : x
  2. Step 2: Convert to fraction form
    259.16/357.40 = 165.88/x
  3. Step 3: Cross multiply
    259.16x = 357.40 × 165.88
  4. Step 4: Simplify right side
    259.16x = 59,285.51
  5. Step 5: Solve for x
    x = 59,285.51/259.16
  6. Step 6: Final answer
    x = 228.76

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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.