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Finding the Fourth Proportional to 255.60, 383.04 and 152.64

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Solution

The fourth proportional to 255.60, 383.04 and 152.64 is: 228.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.60 : 383.04 = 152.64 : x
  2. Step 2: Convert to fraction form
    255.60/383.04 = 152.64/x
  3. Step 3: Cross multiply
    255.60x = 383.04 × 152.64
  4. Step 4: Simplify right side
    255.60x = 58,467.23
  5. Step 5: Solve for x
    x = 58,467.23/255.60
  6. Step 6: Final answer
    x = 228.75

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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.