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Finding the Fourth Proportional to 401.53, 601.93 and 158.00

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Solution

The fourth proportional to 401.53, 601.93 and 158.00 is: 236.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.53 : 601.93 = 158.00 : x
  2. Step 2: Convert to fraction form
    401.53/601.93 = 158.00/x
  3. Step 3: Cross multiply
    401.53x = 601.93 × 158.00
  4. Step 4: Simplify right side
    401.53x = 95,105.51
  5. Step 5: Solve for x
    x = 95,105.51/401.53
  6. Step 6: Final answer
    x = 236.86

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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.