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Finding the Fourth Proportional to 357.64, 493.48 and 202.36

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Solution

The fourth proportional to 357.64, 493.48 and 202.36 is: 279.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.64 : 493.48 = 202.36 : x
  2. Step 2: Convert to fraction form
    357.64/493.48 = 202.36/x
  3. Step 3: Cross multiply
    357.64x = 493.48 × 202.36
  4. Step 4: Simplify right side
    357.64x = 99,860.61
  5. Step 5: Solve for x
    x = 99,860.61/357.64
  6. Step 6: Final answer
    x = 279.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.