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Finding the Fourth Proportional to 340.25, 469.40 and 229.53

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Solution

The fourth proportional to 340.25, 469.40 and 229.53 is: 316.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.25 : 469.40 = 229.53 : x
  2. Step 2: Convert to fraction form
    340.25/469.40 = 229.53/x
  3. Step 3: Cross multiply
    340.25x = 469.40 × 229.53
  4. Step 4: Simplify right side
    340.25x = 107,740.23
  5. Step 5: Solve for x
    x = 107,740.23/340.25
  6. Step 6: Final answer
    x = 316.65

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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.