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Finding the Fourth Proportional to 310.37, 465.62 and 127.76

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Solution

The fourth proportional to 310.37, 465.62 and 127.76 is: 191.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.37 : 465.62 = 127.76 : x
  2. Step 2: Convert to fraction form
    310.37/465.62 = 127.76/x
  3. Step 3: Cross multiply
    310.37x = 465.62 × 127.76
  4. Step 4: Simplify right side
    310.37x = 59,484.64
  5. Step 5: Solve for x
    x = 59,484.64/310.37
  6. Step 6: Final answer
    x = 191.66

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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.