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Finding the Fourth Proportional to 245.33, 368.04 and 176.68

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Solution

The fourth proportional to 245.33, 368.04 and 176.68 is: 265.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.33 : 368.04 = 176.68 : x
  2. Step 2: Convert to fraction form
    245.33/368.04 = 176.68/x
  3. Step 3: Cross multiply
    245.33x = 368.04 × 176.68
  4. Step 4: Simplify right side
    245.33x = 65,026.43
  5. Step 5: Solve for x
    x = 65,026.43/245.33
  6. Step 6: Final answer
    x = 265.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.