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Finding the Fourth Proportional to 346.56, 519.65 and 127.16

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Solution

The fourth proportional to 346.56, 519.65 and 127.16 is: 190.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.56 : 519.65 = 127.16 : x
  2. Step 2: Convert to fraction form
    346.56/519.65 = 127.16/x
  3. Step 3: Cross multiply
    346.56x = 519.65 × 127.16
  4. Step 4: Simplify right side
    346.56x = 66,078.69
  5. Step 5: Solve for x
    x = 66,078.69/346.56
  6. Step 6: Final answer
    x = 190.67

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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.