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Finding the Fourth Proportional to 225.53, 311.40 and 146.89

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Solution

The fourth proportional to 225.53, 311.40 and 146.89 is: 202.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.53 : 311.40 = 146.89 : x
  2. Step 2: Convert to fraction form
    225.53/311.40 = 146.89/x
  3. Step 3: Cross multiply
    225.53x = 311.40 × 146.89
  4. Step 4: Simplify right side
    225.53x = 45,741.55
  5. Step 5: Solve for x
    x = 45,741.55/225.53
  6. Step 6: Final answer
    x = 202.82

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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.