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Finding the Fourth Proportional to 310.74, 466.06 and 102.51

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Solution

The fourth proportional to 310.74, 466.06 and 102.51 is: 153.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.74 : 466.06 = 102.51 : x
  2. Step 2: Convert to fraction form
    310.74/466.06 = 102.51/x
  3. Step 3: Cross multiply
    310.74x = 466.06 × 102.51
  4. Step 4: Simplify right side
    310.74x = 47,773.81
  5. Step 5: Solve for x
    x = 47,773.81/310.74
  6. Step 6: Final answer
    x = 153.74

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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.