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Finding the Fourth Proportional to 207.14, 310.14 and 152.36

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Solution

The fourth proportional to 207.14, 310.14 and 152.36 is: 228.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.14 : 310.14 = 152.36 : x
  2. Step 2: Convert to fraction form
    207.14/310.14 = 152.36/x
  3. Step 3: Cross multiply
    207.14x = 310.14 × 152.36
  4. Step 4: Simplify right side
    207.14x = 47,252.93
  5. Step 5: Solve for x
    x = 47,252.93/207.14
  6. Step 6: Final answer
    x = 228.12

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