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Finding the Fourth Proportional to 294.13, 405.61 and 176.08

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Solution

The fourth proportional to 294.13, 405.61 and 176.08 is: 242.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.13 : 405.61 = 176.08 : x
  2. Step 2: Convert to fraction form
    294.13/405.61 = 176.08/x
  3. Step 3: Cross multiply
    294.13x = 405.61 × 176.08
  4. Step 4: Simplify right side
    294.13x = 71,421.25
  5. Step 5: Solve for x
    x = 71,421.25/294.13
  6. Step 6: Final answer
    x = 242.82

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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.