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Finding the Fourth Proportional to 310.83, 466.37 and 148.53

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Solution

The fourth proportional to 310.83, 466.37 and 148.53 is: 222.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.83 : 466.37 = 148.53 : x
  2. Step 2: Convert to fraction form
    310.83/466.37 = 148.53/x
  3. Step 3: Cross multiply
    310.83x = 466.37 × 148.53
  4. Step 4: Simplify right side
    310.83x = 69,269.19
  5. Step 5: Solve for x
    x = 69,269.19/310.83
  6. Step 6: Final answer
    x = 222.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.