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Finding the Fourth Proportional to 210.34, 289.80 and 160.46

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Solution

The fourth proportional to 210.34, 289.80 and 160.46 is: 221.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.34 : 289.80 = 160.46 : x
  2. Step 2: Convert to fraction form
    210.34/289.80 = 160.46/x
  3. Step 3: Cross multiply
    210.34x = 289.80 × 160.46
  4. Step 4: Simplify right side
    210.34x = 46,499.86
  5. Step 5: Solve for x
    x = 46,499.86/210.34
  6. Step 6: Final answer
    x = 221.07

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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.