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Finding the Fourth Proportional to 270.58, 373.31 and 160.02

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Solution

The fourth proportional to 270.58, 373.31 and 160.02 is: 220.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.58 : 373.31 = 160.02 : x
  2. Step 2: Convert to fraction form
    270.58/373.31 = 160.02/x
  3. Step 3: Cross multiply
    270.58x = 373.31 × 160.02
  4. Step 4: Simplify right side
    270.58x = 59,737.07
  5. Step 5: Solve for x
    x = 59,737.07/270.58
  6. Step 6: Final answer
    x = 220.77

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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.