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Finding the Fourth Proportional to 401.88, 602.84 and 145.36

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Solution

The fourth proportional to 401.88, 602.84 and 145.36 is: 218.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.88 : 602.84 = 145.36 : x
  2. Step 2: Convert to fraction form
    401.88/602.84 = 145.36/x
  3. Step 3: Cross multiply
    401.88x = 602.84 × 145.36
  4. Step 4: Simplify right side
    401.88x = 87,628.82
  5. Step 5: Solve for x
    x = 87,628.82/401.88
  6. Step 6: Final answer
    x = 218.05

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