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Finding the Fourth Proportional to 268.83, 370.98 and 152.39

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Solution

The fourth proportional to 268.83, 370.98 and 152.39 is: 210.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.83 : 370.98 = 152.39 : x
  2. Step 2: Convert to fraction form
    268.83/370.98 = 152.39/x
  3. Step 3: Cross multiply
    268.83x = 370.98 × 152.39
  4. Step 4: Simplify right side
    268.83x = 56,534.57
  5. Step 5: Solve for x
    x = 56,534.57/268.83
  6. Step 6: Final answer
    x = 210.30

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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.