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Finding the Fourth Proportional to 152.31, 210.01 and 119.03

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Solution

The fourth proportional to 152.31, 210.01 and 119.03 is: 164.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.31 : 210.01 = 119.03 : x
  2. Step 2: Convert to fraction form
    152.31/210.01 = 119.03/x
  3. Step 3: Cross multiply
    152.31x = 210.01 × 119.03
  4. Step 4: Simplify right side
    152.31x = 24,996.90
  5. Step 5: Solve for x
    x = 24,996.90/152.31
  6. Step 6: Final answer
    x = 164.12

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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.