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Finding the Fourth Proportional to 262.87, 362.74 and 152.35

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Solution

The fourth proportional to 262.87, 362.74 and 152.35 is: 210.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.87 : 362.74 = 152.35 : x
  2. Step 2: Convert to fraction form
    262.87/362.74 = 152.35/x
  3. Step 3: Cross multiply
    262.87x = 362.74 × 152.35
  4. Step 4: Simplify right side
    262.87x = 55,264.19
  5. Step 5: Solve for x
    x = 55,264.19/262.87
  6. Step 6: Final answer
    x = 210.23

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Why These Related Problems?

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