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Finding the Fourth Proportional to 210.01, 289.76 and 160.21

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Solution

The fourth proportional to 210.01, 289.76 and 160.21 is: 221.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.01 : 289.76 = 160.21 : x
  2. Step 2: Convert to fraction form
    210.01/289.76 = 160.21/x
  3. Step 3: Cross multiply
    210.01x = 289.76 × 160.21
  4. Step 4: Simplify right side
    210.01x = 46,421.00
  5. Step 5: Solve for x
    x = 46,421.00/210.01
  6. Step 6: Final answer
    x = 221.05

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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.