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Finding the Fourth Proportional to 210.87, 290.87 and 155.75

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Solution

The fourth proportional to 210.87, 290.87 and 155.75 is: 214.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.87 : 290.87 = 155.75 : x
  2. Step 2: Convert to fraction form
    210.87/290.87 = 155.75/x
  3. Step 3: Cross multiply
    210.87x = 290.87 × 155.75
  4. Step 4: Simplify right side
    210.87x = 45,303.00
  5. Step 5: Solve for x
    x = 45,303.00/210.87
  6. Step 6: Final answer
    x = 214.84

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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.