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Finding the Fourth Proportional to 210.16, 290 and 116.89

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Solution

The fourth proportional to 210.16, 290 and 116.89 is: 161.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.16 : 290 = 116.89 : x
  2. Step 2: Convert to fraction form
    210.16/290 = 116.89/x
  3. Step 3: Cross multiply
    210.16x = 290 × 116.89
  4. Step 4: Simplify right side
    210.16x = 33,898.10
  5. Step 5: Solve for x
    x = 33,898.10/210.16
  6. Step 6: Final answer
    x = 161.30

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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.