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Finding the Fourth Proportional to 270.84, 373.78 and 160.32

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Solution

The fourth proportional to 270.84, 373.78 and 160.32 is: 221.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.84 : 373.78 = 160.32 : x
  2. Step 2: Convert to fraction form
    270.84/373.78 = 160.32/x
  3. Step 3: Cross multiply
    270.84x = 373.78 × 160.32
  4. Step 4: Simplify right side
    270.84x = 59,924.41
  5. Step 5: Solve for x
    x = 59,924.41/270.84
  6. Step 6: Final answer
    x = 221.25

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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.