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Finding the Fourth Proportional to 165.84, 228.89 and 148.45

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Solution

The fourth proportional to 165.84, 228.89 and 148.45 is: 204.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.84 : 228.89 = 148.45 : x
  2. Step 2: Convert to fraction form
    165.84/228.89 = 148.45/x
  3. Step 3: Cross multiply
    165.84x = 228.89 × 148.45
  4. Step 4: Simplify right side
    165.84x = 33,977.98
  5. Step 5: Solve for x
    x = 33,977.98/165.84
  6. Step 6: Final answer
    x = 204.89

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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.