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Finding the Fourth Proportional to 270.71, 373.58 and 146.38

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Solution

The fourth proportional to 270.71, 373.58 and 146.38 is: 202.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.71 : 373.58 = 146.38 : x
  2. Step 2: Convert to fraction form
    270.71/373.58 = 146.38/x
  3. Step 3: Cross multiply
    270.71x = 373.58 × 146.38
  4. Step 4: Simplify right side
    270.71x = 54,683.47
  5. Step 5: Solve for x
    x = 54,683.47/270.71
  6. Step 6: Final answer
    x = 202.00

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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.