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Finding the Fourth Proportional to 152.54, 210.03 and 138.14

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Solution

The fourth proportional to 152.54, 210.03 and 138.14 is: 190.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.54 : 210.03 = 138.14 : x
  2. Step 2: Convert to fraction form
    152.54/210.03 = 138.14/x
  3. Step 3: Cross multiply
    152.54x = 210.03 × 138.14
  4. Step 4: Simplify right side
    152.54x = 29,013.54
  5. Step 5: Solve for x
    x = 29,013.54/152.54
  6. Step 6: Final answer
    x = 190.20

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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.