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Finding the Fourth Proportional to 270.63, 373.25 and 187.55

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Solution

The fourth proportional to 270.63, 373.25 and 187.55 is: 258.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.63 : 373.25 = 187.55 : x
  2. Step 2: Convert to fraction form
    270.63/373.25 = 187.55/x
  3. Step 3: Cross multiply
    270.63x = 373.25 × 187.55
  4. Step 4: Simplify right side
    270.63x = 70,000.23
  5. Step 5: Solve for x
    x = 70,000.23/270.63
  6. Step 6: Final answer
    x = 258.66

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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.