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Finding the Fourth Proportional to 210.08, 314.36 and 187.60

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Solution

The fourth proportional to 210.08, 314.36 and 187.60 is: 280.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.08 : 314.36 = 187.60 : x
  2. Step 2: Convert to fraction form
    210.08/314.36 = 187.60/x
  3. Step 3: Cross multiply
    210.08x = 314.36 × 187.60
  4. Step 4: Simplify right side
    210.08x = 58,973.94
  5. Step 5: Solve for x
    x = 58,973.94/210.08
  6. Step 6: Final answer
    x = 280.72

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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.