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Finding the Fourth Proportional to 152.36, 210.13 and 137.96

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Solution

The fourth proportional to 152.36, 210.13 and 137.96 is: 190.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.36 : 210.13 = 137.96 : x
  2. Step 2: Convert to fraction form
    152.36/210.13 = 137.96/x
  3. Step 3: Cross multiply
    152.36x = 210.13 × 137.96
  4. Step 4: Simplify right side
    152.36x = 28,988.14
  5. Step 5: Solve for x
    x = 28,988.14/152.36
  6. Step 6: Final answer
    x = 190.27

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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.