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Finding the Fourth Proportional to 210.01, 289.62 and 140.08

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Solution

The fourth proportional to 210.01, 289.62 and 140.08 is: 193.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.01 : 289.62 = 140.08 : x
  2. Step 2: Convert to fraction form
    210.01/289.62 = 140.08/x
  3. Step 3: Cross multiply
    210.01x = 289.62 × 140.08
  4. Step 4: Simplify right side
    210.01x = 40,567.82
  5. Step 5: Solve for x
    x = 40,567.82/210.01
  6. Step 6: Final answer
    x = 193.17

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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.