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Finding the Fourth Proportional to 357.90, 536.46 and 152.60

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Solution

The fourth proportional to 357.90, 536.46 and 152.60 is: 228.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.90 : 536.46 = 152.60 : x
  2. Step 2: Convert to fraction form
    357.90/536.46 = 152.60/x
  3. Step 3: Cross multiply
    357.90x = 536.46 × 152.60
  4. Step 4: Simplify right side
    357.90x = 81,861.11
  5. Step 5: Solve for x
    x = 81,861.11/357.90
  6. Step 6: Final answer
    x = 228.73

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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.