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Finding the Fourth Proportional to 185.39, 255.64 and 127.07

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Solution

The fourth proportional to 185.39, 255.64 and 127.07 is: 175.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.39 : 255.64 = 127.07 : x
  2. Step 2: Convert to fraction form
    185.39/255.64 = 127.07/x
  3. Step 3: Cross multiply
    185.39x = 255.64 × 127.07
  4. Step 4: Simplify right side
    185.39x = 32,482.26
  5. Step 5: Solve for x
    x = 32,482.26/185.39
  6. Step 6: Final answer
    x = 175.22

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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.