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Finding the Fourth Proportional to 207.34, 285.15 and 184.08

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Solution

The fourth proportional to 207.34, 285.15 and 184.08 is: 253.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.34 : 285.15 = 184.08 : x
  2. Step 2: Convert to fraction form
    207.34/285.15 = 184.08/x
  3. Step 3: Cross multiply
    207.34x = 285.15 × 184.08
  4. Step 4: Simplify right side
    207.34x = 52,490.41
  5. Step 5: Solve for x
    x = 52,490.41/207.34
  6. Step 6: Final answer
    x = 253.16

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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.