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Finding the Fourth Proportional to 262.44, 392.58 and 153.60

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Solution

The fourth proportional to 262.44, 392.58 and 153.60 is: 229.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.44 : 392.58 = 153.60 : x
  2. Step 2: Convert to fraction form
    262.44/392.58 = 153.60/x
  3. Step 3: Cross multiply
    262.44x = 392.58 × 153.60
  4. Step 4: Simplify right side
    262.44x = 60,300.29
  5. Step 5: Solve for x
    x = 60,300.29/262.44
  6. Step 6: Final answer
    x = 229.77

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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.