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Finding the Fourth Proportional to 202.32, 302.66 and 147.14

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Solution

The fourth proportional to 202.32, 302.66 and 147.14 is: 220.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.32 : 302.66 = 147.14 : x
  2. Step 2: Convert to fraction form
    202.32/302.66 = 147.14/x
  3. Step 3: Cross multiply
    202.32x = 302.66 × 147.14
  4. Step 4: Simplify right side
    202.32x = 44,531.14
  5. Step 5: Solve for x
    x = 44,531.14/202.32
  6. Step 6: Final answer
    x = 220.10

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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.