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Finding the Fourth Proportional to 210.17, 289.71 and 147.83

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Solution

The fourth proportional to 210.17, 289.71 and 147.83 is: 203.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.17 : 289.71 = 147.83 : x
  2. Step 2: Convert to fraction form
    210.17/289.71 = 147.83/x
  3. Step 3: Cross multiply
    210.17x = 289.71 × 147.83
  4. Step 4: Simplify right side
    210.17x = 42,827.83
  5. Step 5: Solve for x
    x = 42,827.83/210.17
  6. Step 6: Final answer
    x = 203.78

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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.