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Finding the Fourth Proportional to 268.68, 370.74 and 152.23

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Solution

The fourth proportional to 268.68, 370.74 and 152.23 is: 210.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.68 : 370.74 = 152.23 : x
  2. Step 2: Convert to fraction form
    268.68/370.74 = 152.23/x
  3. Step 3: Cross multiply
    268.68x = 370.74 × 152.23
  4. Step 4: Simplify right side
    268.68x = 56,437.75
  5. Step 5: Solve for x
    x = 56,437.75/268.68
  6. Step 6: Final answer
    x = 210.06

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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.