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Finding the Fourth Proportional to 310.93, 466.40 and 94.50

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Solution

The fourth proportional to 310.93, 466.40 and 94.50 is: 141.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.93 : 466.40 = 94.50 : x
  2. Step 2: Convert to fraction form
    310.93/466.40 = 94.50/x
  3. Step 3: Cross multiply
    310.93x = 466.40 × 94.50
  4. Step 4: Simplify right side
    310.93x = 44,075.04
  5. Step 5: Solve for x
    x = 44,075.04/310.93
  6. Step 6: Final answer
    x = 141.75

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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.