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Finding the Fourth Proportional to 265.84, 396.68 and 246.40

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Solution

The fourth proportional to 265.84, 396.68 and 246.40 is: 367.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.84 : 396.68 = 246.40 : x
  2. Step 2: Convert to fraction form
    265.84/396.68 = 246.40/x
  3. Step 3: Cross multiply
    265.84x = 396.68 × 246.40
  4. Step 4: Simplify right side
    265.84x = 97,741.95
  5. Step 5: Solve for x
    x = 97,741.95/265.84
  6. Step 6: Final answer
    x = 367.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.