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Finding the Fourth Proportional to 401.50, 602.25 and 97.50

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Solution

The fourth proportional to 401.50, 602.25 and 97.50 is: 146.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.50 : 602.25 = 97.50 : x
  2. Step 2: Convert to fraction form
    401.50/602.25 = 97.50/x
  3. Step 3: Cross multiply
    401.50x = 602.25 × 97.50
  4. Step 4: Simplify right side
    401.50x = 58,719.38
  5. Step 5: Solve for x
    x = 58,719.38/401.50
  6. Step 6: Final answer
    x = 146.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.