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Finding the Fourth Proportional to 268.48, 370.57 and 175.34

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Solution

The fourth proportional to 268.48, 370.57 and 175.34 is: 242.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.48 : 370.57 = 175.34 : x
  2. Step 2: Convert to fraction form
    268.48/370.57 = 175.34/x
  3. Step 3: Cross multiply
    268.48x = 370.57 × 175.34
  4. Step 4: Simplify right side
    268.48x = 64,975.74
  5. Step 5: Solve for x
    x = 64,975.74/268.48
  6. Step 6: Final answer
    x = 242.01

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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.