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Finding the Fourth Proportional to 152.69, 210.53 and 140.54

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Solution

The fourth proportional to 152.69, 210.53 and 140.54 is: 193.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.69 : 210.53 = 140.54 : x
  2. Step 2: Convert to fraction form
    152.69/210.53 = 140.54/x
  3. Step 3: Cross multiply
    152.69x = 210.53 × 140.54
  4. Step 4: Simplify right side
    152.69x = 29,587.18
  5. Step 5: Solve for x
    x = 29,587.18/152.69
  6. Step 6: Final answer
    x = 193.78

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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.