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Finding the Fourth Proportional to 357.57, 536.35 and 152.10

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Solution

The fourth proportional to 357.57, 536.35 and 152.10 is: 228.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.57 : 536.35 = 152.10 : x
  2. Step 2: Convert to fraction form
    357.57/536.35 = 152.10/x
  3. Step 3: Cross multiply
    357.57x = 536.35 × 152.10
  4. Step 4: Simplify right side
    357.57x = 81,576.15
  5. Step 5: Solve for x
    x = 81,576.15/357.57
  6. Step 6: Final answer
    x = 228.14

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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.