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Finding the Fourth Proportional to 210.10, 289.61 and 165.77

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Solution

The fourth proportional to 210.10, 289.61 and 165.77 is: 228.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.10 : 289.61 = 165.77 : x
  2. Step 2: Convert to fraction form
    210.10/289.61 = 165.77/x
  3. Step 3: Cross multiply
    210.10x = 289.61 × 165.77
  4. Step 4: Simplify right side
    210.10x = 48,008.04
  5. Step 5: Solve for x
    x = 48,008.04/210.10
  6. Step 6: Final answer
    x = 228.50

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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.