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Finding the Fourth Proportional to 567.59, 851.35 and 177.60

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Solution

The fourth proportional to 567.59, 851.35 and 177.60 is: 266.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.59 : 851.35 = 177.60 : x
  2. Step 2: Convert to fraction form
    567.59/851.35 = 177.60/x
  3. Step 3: Cross multiply
    567.59x = 851.35 × 177.60
  4. Step 4: Simplify right side
    567.59x = 151,199.76
  5. Step 5: Solve for x
    x = 151,199.76/567.59
  6. Step 6: Final answer
    x = 266.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.