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Finding the Fourth Proportional to 231.02, 346.53 and 134.77

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Solution

The fourth proportional to 231.02, 346.53 and 134.77 is: 202.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.02 : 346.53 = 134.77 : x
  2. Step 2: Convert to fraction form
    231.02/346.53 = 134.77/x
  3. Step 3: Cross multiply
    231.02x = 346.53 × 134.77
  4. Step 4: Simplify right side
    231.02x = 46,700.58
  5. Step 5: Solve for x
    x = 46,700.58/231.02
  6. Step 6: Final answer
    x = 202.15

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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.