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Finding the Fourth Proportional to 336.02, 463.68 and 188.66

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Solution

The fourth proportional to 336.02, 463.68 and 188.66 is: 260.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.02 : 463.68 = 188.66 : x
  2. Step 2: Convert to fraction form
    336.02/463.68 = 188.66/x
  3. Step 3: Cross multiply
    336.02x = 463.68 × 188.66
  4. Step 4: Simplify right side
    336.02x = 87,475.55
  5. Step 5: Solve for x
    x = 87,475.55/336.02
  6. Step 6: Final answer
    x = 260.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.