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Finding the Fourth Proportional to 270.47, 373.25 and 160.07

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Solution

The fourth proportional to 270.47, 373.25 and 160.07 is: 220.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.47 : 373.25 = 160.07 : x
  2. Step 2: Convert to fraction form
    270.47/373.25 = 160.07/x
  3. Step 3: Cross multiply
    270.47x = 373.25 × 160.07
  4. Step 4: Simplify right side
    270.47x = 59,744.66
  5. Step 5: Solve for x
    x = 59,744.66/270.47
  6. Step 6: Final answer
    x = 220.89

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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.