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Finding the Fourth Proportional to 262.02, 392.70 and 125.04

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Solution

The fourth proportional to 262.02, 392.70 and 125.04 is: 187.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.02 : 392.70 = 125.04 : x
  2. Step 2: Convert to fraction form
    262.02/392.70 = 125.04/x
  3. Step 3: Cross multiply
    262.02x = 392.70 × 125.04
  4. Step 4: Simplify right side
    262.02x = 49,103.21
  5. Step 5: Solve for x
    x = 49,103.21/262.02
  6. Step 6: Final answer
    x = 187.40

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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.