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Finding the Fourth Proportional to 383.64, 575.08 and 152.16

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Solution

The fourth proportional to 383.64, 575.08 and 152.16 is: 228.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.64 : 575.08 = 152.16 : x
  2. Step 2: Convert to fraction form
    383.64/575.08 = 152.16/x
  3. Step 3: Cross multiply
    383.64x = 575.08 × 152.16
  4. Step 4: Simplify right side
    383.64x = 87,504.17
  5. Step 5: Solve for x
    x = 87,504.17/383.64
  6. Step 6: Final answer
    x = 228.09

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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.