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Finding the Fourth Proportional to 255.49, 383.02 and 101.53

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Solution

The fourth proportional to 255.49, 383.02 and 101.53 is: 152.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.49 : 383.02 = 101.53 : x
  2. Step 2: Convert to fraction form
    255.49/383.02 = 101.53/x
  3. Step 3: Cross multiply
    255.49x = 383.02 × 101.53
  4. Step 4: Simplify right side
    255.49x = 38,886.11
  5. Step 5: Solve for x
    x = 38,886.11/255.49
  6. Step 6: Final answer
    x = 152.20

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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.