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Finding the Fourth Proportional to 211.10, 317.00 and 177.14

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Solution

The fourth proportional to 211.10, 317.00 and 177.14 is: 266.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.10 : 317.00 = 177.14 : x
  2. Step 2: Convert to fraction form
    211.10/317.00 = 177.14/x
  3. Step 3: Cross multiply
    211.10x = 317.00 × 177.14
  4. Step 4: Simplify right side
    211.10x = 56,152.49
  5. Step 5: Solve for x
    x = 56,152.49/211.10
  6. Step 6: Final answer
    x = 266.00

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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.