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Finding the Fourth Proportional to 567.95, 851.88 and 157.06

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Solution

The fourth proportional to 567.95, 851.88 and 157.06 is: 235.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.95 : 851.88 = 157.06 : x
  2. Step 2: Convert to fraction form
    567.95/851.88 = 157.06/x
  3. Step 3: Cross multiply
    567.95x = 851.88 × 157.06
  4. Step 4: Simplify right side
    567.95x = 133,794.14
  5. Step 5: Solve for x
    x = 133,794.14/567.95
  6. Step 6: Final answer
    x = 235.57

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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.