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Finding the Fourth Proportional to 268.80, 370.84 and 152.32

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Solution

The fourth proportional to 268.80, 370.84 and 152.32 is: 210.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.80 : 370.84 = 152.32 : x
  2. Step 2: Convert to fraction form
    268.80/370.84 = 152.32/x
  3. Step 3: Cross multiply
    268.80x = 370.84 × 152.32
  4. Step 4: Simplify right side
    268.80x = 56,486.35
  5. Step 5: Solve for x
    x = 56,486.35/268.80
  6. Step 6: Final answer
    x = 210.14

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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.