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Finding the Fourth Proportional to 202.48, 279.12 and 158.74

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Solution

The fourth proportional to 202.48, 279.12 and 158.74 is: 218.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.48 : 279.12 = 158.74 : x
  2. Step 2: Convert to fraction form
    202.48/279.12 = 158.74/x
  3. Step 3: Cross multiply
    202.48x = 279.12 × 158.74
  4. Step 4: Simplify right side
    202.48x = 44,307.51
  5. Step 5: Solve for x
    x = 44,307.51/202.48
  6. Step 6: Final answer
    x = 218.82

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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.