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Finding the Fourth Proportional to 255.71, 383.54 and 153.65

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Solution

The fourth proportional to 255.71, 383.54 and 153.65 is: 230.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.71 : 383.54 = 153.65 : x
  2. Step 2: Convert to fraction form
    255.71/383.54 = 153.65/x
  3. Step 3: Cross multiply
    255.71x = 383.54 × 153.65
  4. Step 4: Simplify right side
    255.71x = 58,931.11
  5. Step 5: Solve for x
    x = 58,931.11/255.71
  6. Step 6: Final answer
    x = 230.46

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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.