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Finding the Fourth Proportional to 165.84, 228.89 and 100.35

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Solution

The fourth proportional to 165.84, 228.89 and 100.35 is: 138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.84 : 228.89 = 100.35 : x
  2. Step 2: Convert to fraction form
    165.84/228.89 = 100.35/x
  3. Step 3: Cross multiply
    165.84x = 228.89 × 100.35
  4. Step 4: Simplify right side
    165.84x = 22,968.61
  5. Step 5: Solve for x
    x = 22,968.61/165.84
  6. Step 6: Final answer
    x = 138.50

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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.