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Finding the Fourth Proportional to 210.02, 289.80 and 116.75

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Solution

The fourth proportional to 210.02, 289.80 and 116.75 is: 161.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.02 : 289.80 = 116.75 : x
  2. Step 2: Convert to fraction form
    210.02/289.80 = 116.75/x
  3. Step 3: Cross multiply
    210.02x = 289.80 × 116.75
  4. Step 4: Simplify right side
    210.02x = 33,834.87
  5. Step 5: Solve for x
    x = 33,834.87/210.02
  6. Step 6: Final answer
    x = 161.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.