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Finding the Fourth Proportional to 152.93, 211.23 and 128.49

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Solution

The fourth proportional to 152.93, 211.23 and 128.49 is: 177.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.93 : 211.23 = 128.49 : x
  2. Step 2: Convert to fraction form
    152.93/211.23 = 128.49/x
  3. Step 3: Cross multiply
    152.93x = 211.23 × 128.49
  4. Step 4: Simplify right side
    152.93x = 27,140.94
  5. Step 5: Solve for x
    x = 27,140.94/152.93
  6. Step 6: Final answer
    x = 177.48

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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.