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Finding the Fourth Proportional to 258.74, 357.08 and 165.50

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Solution

The fourth proportional to 258.74, 357.08 and 165.50 is: 228.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.74 : 357.08 = 165.50 : x
  2. Step 2: Convert to fraction form
    258.74/357.08 = 165.50/x
  3. Step 3: Cross multiply
    258.74x = 357.08 × 165.50
  4. Step 4: Simplify right side
    258.74x = 59,094.13
  5. Step 5: Solve for x
    x = 59,094.13/258.74
  6. Step 6: Final answer
    x = 228.40

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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.