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Finding the Fourth Proportional to 270.45, 373.14 and 159.93

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Solution

The fourth proportional to 270.45, 373.14 and 159.93 is: 220.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.45 : 373.14 = 159.93 : x
  2. Step 2: Convert to fraction form
    270.45/373.14 = 159.93/x
  3. Step 3: Cross multiply
    270.45x = 373.14 × 159.93
  4. Step 4: Simplify right side
    270.45x = 59,676.28
  5. Step 5: Solve for x
    x = 59,676.28/270.45
  6. Step 6: Final answer
    x = 220.66

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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.