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Finding the Fourth Proportional to 293.13, 404.61 and 188.51

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Solution

The fourth proportional to 293.13, 404.61 and 188.51 is: 260.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.13 : 404.61 = 188.51 : x
  2. Step 2: Convert to fraction form
    293.13/404.61 = 188.51/x
  3. Step 3: Cross multiply
    293.13x = 404.61 × 188.51
  4. Step 4: Simplify right side
    293.13x = 76,271.01
  5. Step 5: Solve for x
    x = 76,271.01/293.13
  6. Step 6: Final answer
    x = 260.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.