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Finding the Fourth Proportional to 357.42, 535.82 and 152.14

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Solution

The fourth proportional to 357.42, 535.82 and 152.14 is: 228.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.42 : 535.82 = 152.14 : x
  2. Step 2: Convert to fraction form
    357.42/535.82 = 152.14/x
  3. Step 3: Cross multiply
    357.42x = 535.82 × 152.14
  4. Step 4: Simplify right side
    357.42x = 81,519.65
  5. Step 5: Solve for x
    x = 81,519.65/357.42
  6. Step 6: Final answer
    x = 228.08

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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.