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Finding the Fourth Proportional to 255.84, 352.80 and 152.40

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Solution

The fourth proportional to 255.84, 352.80 and 152.40 is: 210.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.84 : 352.80 = 152.40 : x
  2. Step 2: Convert to fraction form
    255.84/352.80 = 152.40/x
  3. Step 3: Cross multiply
    255.84x = 352.80 × 152.40
  4. Step 4: Simplify right side
    255.84x = 53,766.72
  5. Step 5: Solve for x
    x = 53,766.72/255.84
  6. Step 6: Final answer
    x = 210.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.