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Finding the Fourth Proportional to 262.64, 362.34 and 152.07

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Solution

The fourth proportional to 262.64, 362.34 and 152.07 is: 209.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.64 : 362.34 = 152.07 : x
  2. Step 2: Convert to fraction form
    262.64/362.34 = 152.07/x
  3. Step 3: Cross multiply
    262.64x = 362.34 × 152.07
  4. Step 4: Simplify right side
    262.64x = 55,101.04
  5. Step 5: Solve for x
    x = 55,101.04/262.64
  6. Step 6: Final answer
    x = 209.80

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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.