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Finding the Fourth Proportional to 211.17, 317.07 and 130.35

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Solution

The fourth proportional to 211.17, 317.07 and 130.35 is: 195.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.17 : 317.07 = 130.35 : x
  2. Step 2: Convert to fraction form
    211.17/317.07 = 130.35/x
  3. Step 3: Cross multiply
    211.17x = 317.07 × 130.35
  4. Step 4: Simplify right side
    211.17x = 41,330.07
  5. Step 5: Solve for x
    x = 41,330.07/211.17
  6. Step 6: Final answer
    x = 195.72

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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.