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Finding the Fourth Proportional to 314.94, 434.58 and 175.06

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Solution

The fourth proportional to 314.94, 434.58 and 175.06 is: 241.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.94 : 434.58 = 175.06 : x
  2. Step 2: Convert to fraction form
    314.94/434.58 = 175.06/x
  3. Step 3: Cross multiply
    314.94x = 434.58 × 175.06
  4. Step 4: Simplify right side
    314.94x = 76,077.57
  5. Step 5: Solve for x
    x = 76,077.57/314.94
  6. Step 6: Final answer
    x = 241.56

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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.